Annali di Matematica Pura ed Applicata最新文献_第7页

On minimality and scalar curvature of CMC triharmonic hypersurfaces in pseudo-Riemannian space forms 关于伪黎曼空间形式中 CMC 三谐波超曲面的最小性和标量曲率

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-02-01 DOI: 10.1007/s10231-023-01422-y

Li Du, Yong Luo

引用次数: 0

On the Hughes conjecture for some finite p-groups 关于某些有限 p 群的休斯猜想

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-31 DOI: 10.1007/s10231-023-01421-z

Mandeep Singh, Rohit Garg

引用次数: 0

An extension result for (LB)-spaces and the surjectivity of tensorized mappings (LB)空间的扩展结果和张量映射的可射性

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-29 DOI: 10.1007/s10231-023-01420-0

Andreas Debrouwere, Lenny Neyt

引用次数: 0

Embedded complex curves in the affine plane 仿射平面中的嵌入复曲线

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-29 DOI: 10.1007/s10231-023-01418-8

Antonio Alarcón, Franc Forstnerič

{"title":"Embedded complex curves in the affine plane","authors":"Antonio Alarcón, Franc Forstnerič","doi":"10.1007/s10231-023-01418-8","DOIUrl":"10.1007/s10231-023-01418-8","url":null,"abstract":"<div>This paper brings several contributions to the classical Forster–Bell–Narasimhan conjecture and the Yang problem concerning the existence of proper, almost proper, and complete injective holomorphic immersions of open Riemann surfaces in the affine plane (mathbb {C}^2) satisfying interpolation and hitting conditions. We also show that every compact Riemann surface contains a Cantor set whose complement admits a proper holomorphic embedding in (mathbb {C}^2), and every connected domain in (mathbb {C}^2) admits complete, everywhere dense, injectively immersed complex discs. The focal point of the paper is a lemma saying for every compact bordered Riemann surface, M, closed discrete subset E of (mathring{M}=Msetminus bM), and compact subset (Ksubset mathring{M}setminus E) without holes in (mathring{M}), any (mathscr {C}^1) embedding (f:Mhookrightarrow mathbb {C}^2) which is holomorphic in (mathring{M}) can be approximated uniformly on K by holomorphic embeddings (F:Mhookrightarrow mathbb {C}^2) which map (Ecup bM) out of a given ball and satisfy some interpolation conditions.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-023-01418-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140881512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Horofunctions and metric compactification of noncompact Hermitian symmetric spaces 非紧凑赫尔墨斯对称空间的荷函数和度量紧凑化

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-24 DOI: 10.1007/s10231-023-01419-7

Cho-Ho Chu, María Cueto-Avellaneda, Bas Lemmens

{"title":"Horofunctions and metric compactification of noncompact Hermitian symmetric spaces","authors":"Cho-Ho Chu, María Cueto-Avellaneda, Bas Lemmens","doi":"10.1007/s10231-023-01419-7","DOIUrl":"10.1007/s10231-023-01419-7","url":null,"abstract":"<div>Given a Hermitian symmetric space M of noncompact type, we show, among other things, that the metric compactification of M with respect to its Carathéodory distance is homeomorphic to a closed ball in its tangent space. We first give a complete description of the horofunctions in the compactification of M via the realisation of M as the open unit ball D of a Banach space ((V,Vert cdot Vert )) equipped with a particular Jordan structure, called a (textrm{JB}^*)-triple. We identify the horofunctions in the metric compactification of ((V,Vert cdot Vert )) and relate its geometry and global topology, via a homeomorphism, to the closed unit ball of the dual space (V^*). Finally, we show that the exponential map (exp _0 :V longrightarrow D) at (0in D) extends to a homeomorphism between the metric compactifications of ((V,Vert cdot Vert )) and ((D,rho )), preserving the geometric structure, where (rho ) is the Carathéodory distance on D. Consequently, the metric compactification of M admits a concrete realisation as the closed dual unit ball of ((V,Vert cdot Vert )).</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140882047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Uniform maximal Fourier restriction for convex curves 凸曲线的均匀最大傅立叶限制

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-18 DOI: 10.1007/s10231-023-01417-9

Marco Fraccaroli

引用次数: 0

Non-simple polarised abelian surfaces and genus 3 curves with completely decomposable Jacobians 具有完全可分解雅各比的非简单极化无常曲面和属 3 曲线

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-17 DOI: 10.1007/s10231-023-01415-x

Robert Auffarth, Paweł Borówka

引用次数: 0

Angular properties of a tetrahedron with an acute triangular base 锐角三角底四面体的角度特性

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-10 DOI: 10.1007/s10231-023-01416-w

M. Q. Rieck

{"title":"Angular properties of a tetrahedron with an acute triangular base","authors":"M. Q. Rieck","doi":"10.1007/s10231-023-01416-w","DOIUrl":"10.1007/s10231-023-01416-w","url":null,"abstract":"<div>From a fixed acute triangular base (Delta ABC), all possible tetrahedra in three-dimensional real space are considered. The possible angles at the additional vertex P are shown to be bounded by certain inequalities, mostly linear inequalities. Together, these inequalities provide fairly tight bounds on the possible angle combinations at P. Four sets of inequalities are used for this purpose, though the inequalities in the first set are rather trivial. The inequalities in the second set can be established quickly, but do not seem to be known. The third and fourth set of inequalities are proved by studying scalar and vector fields on toroids. The first three sets of inequalities are linear in the angles at P, but the last set involves cosines of these angles. A generalization of the last two sets of inequalities is also proved, using the Poincaré–Hopf Theorem. Extensive testing of these results has been done using Mathematica and C++. The C++ code for this is listed in an appendix. While it has been demonstrated that the inequalities bound the possible combinations of angles at P, the results also reveal that additional inequalities, in particular linear inequalities, exist that would provided tighter bounds.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139440794","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Spectral convergence of Neumann Laplacian perturbed by an infinite set of curved holes 受无限曲面孔集扰动的诺伊曼拉普拉斯函数的谱收敛性

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2024-01-04 DOI: 10.1007/s10231-023-01414-y

Hong Hai Ly

引用次数: 0

A sharp multiplier theorem for solvable extensions of Heisenberg and related groups 海森堡群及相关群可解扩展的尖锐乘数定理

IF 1 3区数学

Annali di Matematica Pura ed Applicata Pub Date : 2023-12-26 DOI: 10.1007/s10231-023-01405-z

Alessio Martini, Paweł Plewa

{"title":"A sharp multiplier theorem for solvable extensions of Heisenberg and related groups","authors":"Alessio Martini, Paweł Plewa","doi":"10.1007/s10231-023-01405-z","DOIUrl":"10.1007/s10231-023-01405-z","url":null,"abstract":"<div>Let G be the semidirect product (N rtimes mathbb {R}), where N is a stratified Lie group and (mathbb {R}) acts on N via automorphic dilations. Homogeneous left-invariant sub-Laplacians on N and (mathbb {R}) can be lifted to G, and their sum (Delta ) is a left-invariant sub-Laplacian on G. In previous joint work of Ottazzi, Vallarino and the first-named author, a spectral multiplier theorem of Mihlin–Hörmander type was proved for (Delta ), showing that an operator of the form (F(Delta )) is of weak type (1, 1) and bounded on (L^p(G)) for all (p in (1,infty )) provided F satisfies a scale-invariant smoothness condition of order (s > (Q+1)/2), where Q is the homogeneous dimension of N. Here we show that, if N is a group of Heisenberg type, or more generally a direct product of Métivier and abelian groups, then the smoothness condition can be pushed down to the sharp threshold (s>(d+1)/2), where d is the topological dimension of N. The proof is based on lifting to G weighted Plancherel estimates on N and exploits a relation between the functional calculi for (Delta ) and analogous operators on semidirect extensions of Bessel–Kingman hypergroups.</div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139053790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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