Annals of Global Analysis and Geometry最新文献_第2页

Correction: The geometry of compact homogeneous spaces with two isotropy summands 更正：具有两个各向同性和子的紧凑同质空间的几何学

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-08-27 DOI: 10.1007/s10455-024-09966-9

William Dickinson, Megan M. Kerr

引用次数: 0

A comparison of the absolute and relative real analytic torsion forms 绝对和相对实解析扭转形式的比较

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-08-16 DOI: 10.1007/s10455-024-09965-w

Jialin Zhu

引用次数: 0

Extrinsic geometry and linear differential equations of (mathfrak {sl}_3)-type 外几何学和 $$mathfrak {sl}_3$ 型线性微分方程

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-08-06 DOI: 10.1007/s10455-024-09964-x

Boris Doubrov, Tohru Morimoto

引用次数: 0

Schwartz correspondence for real motion groups in low dimensions 低维实运动群的施瓦茨对应关系

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-07-29 DOI: 10.1007/s10455-024-09963-y

Francesca Astengo, Bianca Di Blasio, Fulvio Ricci

{"title":"Schwartz correspondence for real motion groups in low dimensions","authors":"Francesca Astengo, Bianca Di Blasio, Fulvio Ricci","doi":"10.1007/s10455-024-09963-y","DOIUrl":"10.1007/s10455-024-09963-y","url":null,"abstract":"<div>For a Gelfand pair (G, K) with G a Lie group of polynomial growth and K a compact subgroup, the Schwartz correspondence states that the spherical transform maps the bi-K-invariant Schwartz space ({{mathcal {S}}}(Kbackslash G/K)) isomorphically onto the space ({{mathcal {S}}}(Sigma _{{mathcal {D}}})), where (Sigma _{{mathcal {D}}}) is an embedded copy of the Gelfand spectrum in ({{mathbb {R}}}^ell ), canonically associated to a generating system ({{mathcal {D}}}) of G-invariant differential operators on G/K, and ({{mathcal {S}}}(Sigma _{{mathcal {D}}})) consists of restrictions to (Sigma _{{mathcal {D}}}) of Schwartz functions on ({{mathbb {R}}}^ell ). Schwartz correspondence is known to hold for a large variety of Gelfand pairs of polynomial growth. In this paper we prove that it holds for the strong Gelfand pair ((M_n,SO_n)) with (n=3,4). The rather trivial case (n=2) is included in previous work by the same authors.</div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09963-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141868769","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

A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking 具有任意对称破缺的单极子模空间上的超凯勒度量

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-07-16 DOI: 10.1007/s10455-024-09954-z

Jaime Mendizabal

引用次数: 0

Universal covers of non-negatively curved manifolds and formality 非负弯曲流形的普遍盖和形式性

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-07-04 DOI: 10.1007/s10455-024-09962-z

Aleksandar Milivojević

引用次数: 0

Left-invariant almost complex structures on the higher dimensional Kodaira–Thurston manifolds 高维柯达伊拉-瑟斯顿流形上的左变近复结构

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-06-25 DOI: 10.1007/s10455-024-09961-0

Tom Holt, Riccardo Piovani

引用次数: 0

Locally conformally Kähler spaces and proper open morphisms 局部保角凯勒空间和适当的开放变形

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-06-13 DOI: 10.1007/s10455-024-09959-8

Ovidiu Preda, Miron Stanciu

引用次数: 0

Topological degree for Kazdan–Warner equation in the negative case on finite graph 有限图上负情况下卡兹丹-瓦纳方程的拓扑度

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-06-02 DOI: 10.1007/s10455-024-09960-1

Yang Liu, Yunyan Yang

{"title":"Topological degree for Kazdan–Warner equation in the negative case on finite graph","authors":"Yang Liu, Yunyan Yang","doi":"10.1007/s10455-024-09960-1","DOIUrl":"10.1007/s10455-024-09960-1","url":null,"abstract":"<div>Let (G=left( V,Eright) ) be a connected finite graph. We are concerned about the Kazdan–Warner equation in the negative case on G, say <div><div>$$begin{aligned} -Delta u=h_lambda e^{2u}-c, end{aligned}$$</div></div>where (Delta ) is the graph Laplacian, (c<0) is a real constant, (h_lambda =h+lambda ), (h:Vrightarrow mathbb {R}) is a function satisfying (hle max _{V}h=0) and (hnot equiv 0), (lambda in mathbb {R}). In this paper, using the method of topological degree, we prove that there exists a critical value (Lambda ^*in (0,-min _{V}h)) such that if (lambda in (-infty ,Lambda ^*]), then the above equation has solutions; and that if (lambda in (Lambda ^*,+infty )), then it has no solution. Specifically, if (lambda in (-infty ,0]), then it has a unique solution; if (lambda in (0,Lambda ^*)), then it has at least two distinct solutions, of which one is a local minimum solution; while if (lambda =Lambda ^*), it has at least one solution. For the proof of these results, we first calculate the topological degree of a map related to the above equation, and then we utilize the relationship between the topological degree and the critical group of the relevant functional. Our method is essentially different from that of Liu and Yang (Calc. Var. 59 (2020), 164), who obtained similar results by using a method of variation.</div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141197955","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

Self-dual almost-Kähler four-manifolds 自偶几乎-凯勒四漫游

IF 0.6 3区数学

Annals of Global Analysis and Geometry Pub Date : 2024-05-19 DOI: 10.1007/s10455-024-09958-9

Inyoung Kim

引用次数: 0