Journal of the London Mathematical Society-Second Series最新文献_第10页

The N-prime graph and the Subgroup Isomorphism Problem n素图与子群同构问题

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-12 DOI: 10.1112/jlms.70584

Emanuele Pacifici, Ángel del Río, Marco Vergani

{"title":"The N-prime graph and the Subgroup Isomorphism Problem","authors":"Emanuele Pacifici, Ángel del Río, Marco Vergani","doi":"10.1112/jlms.70584","DOIUrl":"https://doi.org/10.1112/jlms.70584","url":null,"abstract":"We introduce a directed graph related to a group <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>, which we call the N-prime graph <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>Γ</mi>\u0000 <mi>N</mi>\u0000 </msub>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>G</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$Gamma _{rm {N}}(G)$</annotation>\u0000 </semantics></math> of <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> and is a refinement of the classical Gruenberg–Kegel graph. The vertices of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>Γ</mi>\u0000 <mi>N</mi>\u0000 </msub>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>G</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$Gamma _{rm {N}}(G)$</annotation>\u0000 </semantics></math> are the primes <math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math> such that <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> has an element of order <math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math>, and, for distinct vertices <math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mi>q</mi>\u0000 <annotation>$q$</annotation>\u0000 </semantics></math>, the arc <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>q</mi>\u0000 <mo>→</mo>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 <annotation>$qrightarrow p$</annotation>\u0000 </semantics></math> is in the graph if and only if <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> has a subgroup of order <math>\u0000 <semantics>\u0000 <mi>p</mi>\u0000 <annotation>$p$</annotation>\u0000 </semantics></math> wh","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70584","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cohomogeneity-one solitons in Laplacian flow: Local, smoothly-closing and steady solitons 拉普拉斯流中的齐性一孤子：局部、平滑闭合和稳定孤子

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-12 DOI: 10.1112/jlms.70570

Mark Haskins, Johannes Nordström

{"title":"Cohomogeneity-one solitons in Laplacian flow: Local, smoothly-closing and steady solitons","authors":"Mark Haskins, Johannes Nordström","doi":"10.1112/jlms.70570","DOIUrl":"https://doi.org/10.1112/jlms.70570","url":null,"abstract":"We initiate a systematic study of cohomogeneity-one solitons in Bryant's Laplacian flow of closed <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>G</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <annotation>$text{G}_2$</annotation>\u0000 </semantics></math>-structures on a 7-manifold, motivated by the problem of understanding finite-time singularities of that flow. Here, we focus on solitons with symmetry groups <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Sp</mi>\u0000 <mo>(</mo>\u0000 <mn>2</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>${rm Sp}(2)$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>SU</mi>\u0000 <mo>(</mo>\u0000 <mn>3</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>${rm SU}(3)$</annotation>\u0000 </semantics></math>; in both cases, we prove the existence of continuous families of local cohomogeneity-one gradient Laplacian solitons and characterise which of these local solutions extend smoothly over their unique singular orbits. The main questions are then to determine which of these smoothly-closing solutions extend to complete solitons and furthermore to understand the asymptotic geometry of these complete solitons. We provide complete answers to both questions in the case of steady solitons. Up to the actions of scaling and discrete symmetries, we show that the set of all smoothly-closing <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>SU</mi>\u0000 <mo>(</mo>\u0000 <mn>3</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>${rm SU}(3)$</annotation>\u0000 </semantics></math>-invariant steady Laplacian solitons defined on a neighbourhood of the zero section of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msubsup>\u0000 <mi>Λ</mi>\u0000 <mo>−</mo>\u0000 <mn>2</mn>\u0000 </msubsup>\u0000 <msup>\u0000 <mi>CP</mi>\u0000 <mn>2</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$Lambda ^2_-mathbb {CP}^2$</annotation>\u0000 </semantics></math> is parametrised by <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>R</mi>\u0000 <mrow>\u0000 <mo>⩾</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$mathbb {R}_{geqslant 0}$</annotation>\u0000 ","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70570","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Sign-changing solutions to the Yamabe problem on manifolds with boundary 带边界流形上Yamabe问题的变符号解

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-12 DOI: 10.1112/jlms.70603

Mónica Clapp, Benedetta Pellacci, Angela Pistoia

{"title":"Sign-changing solutions to the Yamabe problem on manifolds with boundary","authors":"Mónica Clapp, Benedetta Pellacci, Angela Pistoia","doi":"10.1112/jlms.70603","DOIUrl":"https://doi.org/10.1112/jlms.70603","url":null,"abstract":"Let <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>M</mi>\u0000 <mo>,</mo>\u0000 <mi>g</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(M, g)$</annotation>\u0000 </semantics></math> be a compact Riemannian manifold with boundary. The Yamabe problem concerning the existence of a metric conformally equivalent to <math>\u0000 <semantics>\u0000 <mi>g</mi>\u0000 <annotation>$g$</annotation>\u0000 </semantics></math> having constant scalar curvature on <math>\u0000 <semantics>\u0000 <mi>M</mi>\u0000 <annotation>$M$</annotation>\u0000 </semantics></math> and constant mean curvature on its boundary is equivalent, in analytic terms, to finding a positive solution to a nonlinear boundary-value problem with critical growth. While the existence of positive solutions to this problem is by now well understood, the existence of sign-changing (nodal) solutions remains largely open.In this work, we establish the existence of least-energy sign-changing solutions when the manifold is positive and the mean curvature of the boundary is a non-negative constant. More precisely, we prove that if <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 <mo>⩾</mo>\u0000 <mn>7</mn>\u0000 </mrow>\u0000 <annotation>$ngeqslant 7$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mi>M</mi>\u0000 <annotation>$M$</annotation>\u0000 </semantics></math> has a nonumbilic boundary point, then the problem admits least-energy nodal solutions. Our approach is variational and relies on the analysis of suitable conformal invariants and sharp energy estimates.","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148238092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Automorphism groups of P 1 $mathbb {P}^1$ -bundles over geometrically ruled surfaces 几何直纹曲面上p1 $mathbb {P}^1$ -束的自同构群

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-09 DOI: 10.1112/jlms.70593

Pascal Fong

{"title":"Automorphism groups of \u0000 \u0000 \u0000 P\u0000 1\u0000 \u0000 $mathbb {P}^1$\u0000 -bundles over geometrically ruled surfaces","authors":"Pascal Fong","doi":"10.1112/jlms.70593","DOIUrl":"https://doi.org/10.1112/jlms.70593","url":null,"abstract":"We classify the pairs <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>X</mi>\u0000 <mo>,</mo>\u0000 <mi>π</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(X,pi)$</annotation>\u0000 </semantics></math>, where <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>π</mi>\u0000 <mo>:</mo>\u0000 <mi>X</mi>\u0000 <mo>→</mo>\u0000 <mi>S</mi>\u0000 </mrow>\u0000 <annotation>$pi colon Xrightarrow S$</annotation>\u0000 </semantics></math> is a <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>P</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 <annotation>$mathbb {P}^1$</annotation>\u0000 </semantics></math>-bundle over a non-rational geometrically ruled surface <math>\u0000 <semantics>\u0000 <mi>S</mi>\u0000 <annotation>$S$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>Aut</mi>\u0000 <mo>∘</mo>\u0000 </msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>X</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$mathrm{Aut}^circ (X)$</annotation>\u0000 </semantics></math> is relatively maximal, that is, maximal with respect to the inclusion in the group <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>Bir</mi>\u0000 <mo>(</mo>\u0000 <mi>X</mi>\u0000 <mo>/</mo>\u0000 <mi>S</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$mathrm{Bir}(X/S)$</annotation>\u0000 </semantics></math>. The results hold over any algebraically closed field of characteristic zero.","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70593","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Standing waves of nonlinear Schrödinger systems with all attractive forces 具有所有吸引力的非线性Schrödinger系统的驻波

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-09 DOI: 10.1112/jlms.70594

Jaeyoung Byeon

{"title":"Standing waves of nonlinear Schrödinger systems with all attractive forces","authors":"Jaeyoung Byeon","doi":"10.1112/jlms.70594","DOIUrl":"https://doi.org/10.1112/jlms.70594","url":null,"abstract":"Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of <math>\u0000 <semantics>\u0000 <mi>n</mi>\u0000 <annotation>$n$</annotation>\u0000 </semantics></math> components with interaction forces <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>a</mi>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>j</mi>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$a_{ij}$</annotation>\u0000 </semantics></math> between the <math>\u0000 <semantics>\u0000 <mi>i</mi>\u0000 <annotation>$i$</annotation>\u0000 </semantics></math>-th and <math>\u0000 <semantics>\u0000 <mi>j</mi>\u0000 <annotation>$j$</annotation>\u0000 </semantics></math>-th components for <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 <mo>⩽</mo>\u0000 <mi>i</mi>\u0000 <mo>,</mo>\u0000 <mi>j</mi>\u0000 <mo>⩽</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$1leqslant i,jleqslant n$</annotation>\u0000 </semantics></math>, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are attractive, (which corresponds to <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>a</mi>\u0000 <mrow>\u0000 <mi>i</mi>\u0000 <mi>j</mi>\u0000 </mrow>\u0000 </msub>\u0000 <mo>⩾</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <annotation>$a_{ij} geqslant 0$</annotation>\u0000 </semantics></math> for every <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 <mo>⩽</mo>\u0000 <mi>i</mi>\u0000 <mo>,</mo>\u0000 <mi>j</mi>\u0000 <mo>⩽</mo>\u0000 <mi>n</mi>\u0000 </mrow>\u0000 <annotation>$1leqslant i,jleqslant n$</annotation>\u0000 </semantics></math>), a systematic approach to finding a solution with all positive components is still not known. In the special case <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>n</mi>\u0000 <mo>=</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$n=2$</annotation>\u0000 </semantics></math>, a very systematic approach has been developed by Ambrosetti and Colorado. In this paper, we review the fundamental","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.70594","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Cohomology of the hyperplane complement of a quaternionic reflection group 四元数反射群的超平面补的上同调

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-09 DOI: 10.1112/jlms.70592

Stephen Griffeth, David Guevara

引用次数: 0

Average signature of geodesic paths in compact Lie groups 紧李群中测地线路径的平均特征

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-09 DOI: 10.1112/jlms.70596

Chong Liu, Shi Wang

{"title":"Average signature of geodesic paths in compact Lie groups","authors":"Chong Liu, Shi Wang","doi":"10.1112/jlms.70596","DOIUrl":"https://doi.org/10.1112/jlms.70596","url":null,"abstract":"For any compact connected Lie group <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>, we introduce a novel notion of average signature <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>A</mi>\u0000 <mo>(</mo>\u0000 <mi>G</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$mathbb {A}(G)$</annotation>\u0000 </semantics></math> valued in its tensor Lie algebra, by taking the average value of the signature of the unique length-minimizing geodesics between all pairs of generic points in <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>. We prove that using the average signature together with the trace operation with respect to the given bi-invariant Riemannian metric on <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>, one can recover certain geometric quantities of <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>, including the dimension, the diameter, the volume, and the scalar curvature.","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148237655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nerves of enriched categories via necklaces 通过项链丰富种类的神经

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-03 DOI: 10.1112/jlms.70573

Arne Mertens

引用次数: 0

Discrete Schwarz rearrangement on lattice graphs 晶格图上的离散Schwarz重排

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-03 DOI: 10.1112/jlms.70583

Hichem Hajaiej, Fengwen Han, Bobo Hua

{"title":"Discrete Schwarz rearrangement on lattice graphs","authors":"Hichem Hajaiej, Fengwen Han, Bobo Hua","doi":"10.1112/jlms.70583","DOIUrl":"https://doi.org/10.1112/jlms.70583","url":null,"abstract":"In this paper, we prove a discrete version of the generalized Riesz inequality on <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Z</mi>\u0000 <mi>d</mi>\u0000 </msup>\u0000 <annotation>$mathbb {Z}^d$</annotation>\u0000 </semantics></math>. As a consequence, we will derive the extended Hardy–Littlewood and Pólya–Szegö inequalities. We will also establish cases of equality in the latter. Our approach is novel and self-contained. In particular, we introduce a definition of the discrete rearrangement in higher dimensions. Moreover, we show that the method developed by Pruss for regular trees does not extend to <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Z</mi>\u0000 <mi>d</mi>\u0000 </msup>\u0000 <annotation>$mathbb {Z}^d$</annotation>\u0000 </semantics></math>. We solve a long-standing open question raised by Alexander Pruss (Duke Mathematical Journal, 1998, p. 494), and discussed with him in several communications in 2009–2010. Our method also provides a framework for proving other discrete rearrangement inequalities and opens the door to establishing existence of optimizers for many important discrete functional inequalities on <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Z</mi>\u0000 <mi>d</mi>\u0000 </msup>\u0000 <annotation>$mathbb {Z}^d$</annotation>\u0000 </semantics></math>, <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 <mo>⩾</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$dgeqslant 2$</annotation>\u0000 </semantics></math>. We will also discuss severel applications of our results. To the best of our knowledge, our results are the first ones in the literature dealing with discrete rearrangement on <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Z</mi>\u0000 <mi>d</mi>\u0000 </msup>\u0000 <annotation>$mathbb {Z}^d$</annotation>\u0000 </semantics></math>, <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>d</mi>\u0000 <mo>⩾</mo>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 <annotation>$dgeqslant 2$</annotation>\u0000 </semantics></math>.","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":"113 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2026-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148173839","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Some splitting and rigidity results for sub-static spaces 对于亚静力空间，会产生一些劈裂和刚性

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2026-06-03 DOI: 10.1112/jlms.70590

Giulio Colombo, Allan Freitas, Luciano Mari, Marco Rigoli

引用次数: 0