发布求助
文献互助 智能选刊 最新文献

Annals of Global Analysis and Geometry最新文献

筛选
英文 中文
Kohn–Rossi cohomology of spherical CR manifolds 球面 CR 流形的 Kohn-Rossi 同调
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-30 DOI: 10.1007/s10455-024-09952-1
Yuya Takeuchi
{"title":"Kohn–Rossi cohomology of spherical CR manifolds","authors":"Yuya Takeuchi","doi":"10.1007/s10455-024-09952-1","DOIUrl":"10.1007/s10455-024-09952-1","url":null,"abstract":"<div><p>We prove some vanishing theorems for the Kohn–Rossi cohomology of some spherical CR manifolds. To this end, we use a canonical contact form defined via the Patterson–Sullivan measure and Weitzenböck-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140566349","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
On Alan Schoen’s I-WP minimal surface 关于艾伦-舍恩的 I-WP 最小曲面
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-27 DOI: 10.1007/s10455-024-09951-2
Dami Lee, Matthias Weber, A. Tom Yerger
{"title":"On Alan Schoen’s I-WP minimal surface","authors":"Dami Lee,&nbsp;Matthias Weber,&nbsp;A. Tom Yerger","doi":"10.1007/s10455-024-09951-2","DOIUrl":"10.1007/s10455-024-09951-2","url":null,"abstract":"<div><p>We discuss in detail Alan Schoen’s I-WP surface, an embedded triply periodic minimal surface of genus 4 with cubical symmetries. We exhibit various geometric realizations of this surface with the same conformal structure and use them to prove that the associate family of the I-WP surface contains six surfaces congruent to I-WP at Bonnet angles that are multiples of <span>(60^circ )</span>.\u0000</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312136","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
Einstein metrics on conformal products 保角积上的爱因斯坦度量
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-27 DOI: 10.1007/s10455-024-09950-3
Andrei Moroianu, Mihaela Pilca
{"title":"Einstein metrics on conformal products","authors":"Andrei Moroianu,&nbsp;Mihaela Pilca","doi":"10.1007/s10455-024-09950-3","DOIUrl":"10.1007/s10455-024-09950-3","url":null,"abstract":"<div><p>We show that under some natural geometric assumption, Einstein metrics on conformal products of two compact conformal manifolds are warped product metrics.\u0000</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140312387","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
Conformal solitons for the mean curvature flow in hyperbolic space 双曲空间平均曲率流的共形孤子
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-15 DOI: 10.1007/s10455-024-09947-y
L. Mari, J. Rocha de Oliveira, A. Savas-Halilaj, R. Sodré de Sena
{"title":"Conformal solitons for the mean curvature flow in hyperbolic space","authors":"L. Mari,&nbsp;J. Rocha de Oliveira,&nbsp;A. Savas-Halilaj,&nbsp;R. Sodré de Sena","doi":"10.1007/s10455-024-09947-y","DOIUrl":"10.1007/s10455-024-09947-y","url":null,"abstract":"<div><p>In this paper, we study conformal solitons for the mean curvature flow in hyperbolic space <span>(mathbb {H}^{n+1})</span>. Working in the upper half-space model, we focus on horo-expanders, which relate to the conformal field <span>(-partial _0)</span>. We classify cylindrical and rotationally symmetric examples, finding appropriate analogues of grim-reaper cylinders, bowl and winglike solitons. Moreover, we address the Plateau and the Dirichlet problems at infinity. For the latter, we provide the sharp boundary convexity condition to guarantee its solvability and address the case of non-compact boundaries contained between two parallel hyperplanes of <span>(partial _infty mathbb {H}^{n+1})</span>. We conclude by proving rigidity results for bowl and grim-reaper cylinders.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09947-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140147557","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
Multiple tubular excisions and large Steklov eigenvalues 多重管状切除和大斯特克洛夫特征值
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-10 DOI: 10.1007/s10455-024-09949-w
Jade Brisson
{"title":"Multiple tubular excisions and large Steklov eigenvalues","authors":"Jade Brisson","doi":"10.1007/s10455-024-09949-w","DOIUrl":"10.1007/s10455-024-09949-w","url":null,"abstract":"<div><p>Given a closed Riemannian manifold <i>M</i> and <span>(bge 2)</span> closed connected submanifolds <span>(N_jsubset M)</span> of codimension at least 2, we prove that the first nonzero eigenvalue of the domain <span>(Omega _varepsilon subset M)</span> obtained by removing the tubular neighbourhood of size <span>(varepsilon )</span> around each <span>(N_j)</span> tends to infinity as <span>(varepsilon )</span> tends to 0. More precisely, we prove a lower bound in terms of <span>(varepsilon )</span>, <i>b</i>, the geometry of <i>M</i> and the codimensions and the volumes of the submanifolds and an upper bound in terms of <span>(varepsilon )</span> and the codimensions of the submanifolds. For eigenvalues of index <span>(k=b,b+1,ldots )</span>, we have a stronger result: their order of divergence is <span>(varepsilon ^{-1})</span> and their rate of divergence is only depending on <i>m</i> and on the codimensions of the submanifolds.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09949-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140099898","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
Rigidity results of weighted area-minimizing hypersurfaces 加权面积最小超曲面的刚性结果
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-03-05 DOI: 10.1007/s10455-024-09948-x
Sanghun Lee, Sangwoo Park, Juncheol Pyo
{"title":"Rigidity results of weighted area-minimizing hypersurfaces","authors":"Sanghun Lee,&nbsp;Sangwoo Park,&nbsp;Juncheol Pyo","doi":"10.1007/s10455-024-09948-x","DOIUrl":"10.1007/s10455-024-09948-x","url":null,"abstract":"<div><p>In this paper, we prove two rigidity results of hypersurfaces in <i>n</i>-dimensional weighted Riemannian manifolds with weighted scalar curvature bounded from below. Firstly, we establish a splitting theorem for the <i>n</i>-dimensional weighted Riemannian manifold via a weighted area-minimizing hypersurface. Secondly, we observe the topological invariance of the weighted stable hypersurface when the ambient weighted scalar curvature is bounded from below by a positive constant. In particular, we derive a non-existence result for a weighted stable hypersurface.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140044142","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
Correction to: Hypercohomologies of truncated twisted holomorphic de Rham complexes Correction to：截断扭曲全态德拉姆复合物的超同调
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-02-29 DOI: 10.1007/s10455-024-09944-1
Lingxu Meng
{"title":"Correction to: Hypercohomologies of truncated twisted holomorphic de Rham complexes","authors":"Lingxu Meng","doi":"10.1007/s10455-024-09944-1","DOIUrl":"10.1007/s10455-024-09944-1","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140004343","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
Some regularity of submetries 子网格的某些规律性
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-02-21 DOI: 10.1007/s10455-024-09946-z
Alexander Lytchak
{"title":"Some regularity of submetries","authors":"Alexander Lytchak","doi":"10.1007/s10455-024-09946-z","DOIUrl":"10.1007/s10455-024-09946-z","url":null,"abstract":"<div><p>We discuss regularity statements for equidistant decompositions of Riemannian manifolds and for the corresponding quotient spaces. We show that any stratum of the quotient space has curvature locally bounded from both sides.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09946-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139949164","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
Subgraphs of BV functions on RCD spaces RCD 空间上的 BV 函数子图
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-02-17 DOI: 10.1007/s10455-024-09945-0
Gioacchino Antonelli, Camillo Brena, Enrico Pasqualetto
{"title":"Subgraphs of BV functions on RCD spaces","authors":"Gioacchino Antonelli,&nbsp;Camillo Brena,&nbsp;Enrico Pasqualetto","doi":"10.1007/s10455-024-09945-0","DOIUrl":"10.1007/s10455-024-09945-0","url":null,"abstract":"<div><p>In this work, we extend classical results for subgraphs of functions of bounded variation in <span>(mathbb R^ntimes mathbb R)</span> to the setting of <span>({textsf{X}}times mathbb R)</span>, where <span>({textsf{X}})</span> is an <span>({textrm{RCD}}(K,N))</span> metric measure space. In particular, we give the precise expression of the push-forward onto <span>({textsf{X}})</span> of the perimeter measure of the subgraph in <span>({textsf{X}}times mathbb R)</span> of a <span>({textrm{BV}})</span> function on <span>({textsf{X}})</span>. Moreover, in properly chosen good coordinates, we write the precise expression of the normal to the boundary of the subgraph of a <span>({textrm{BV}})</span> function <i>f</i> with respect to the polar vector of <i>f</i>, and we prove change-of-variable formulas.\u0000</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09945-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139768560","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
Some remarks on almost Hermitian functionals 关于几乎赫尔墨斯函数的一些评论
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-01-31 DOI: 10.1007/s10455-023-09943-8
Tedi Draghici, Cem Sayar
{"title":"Some remarks on almost Hermitian functionals","authors":"Tedi Draghici,&nbsp;Cem Sayar","doi":"10.1007/s10455-023-09943-8","DOIUrl":"10.1007/s10455-023-09943-8","url":null,"abstract":"<div><p>We study critical points of natural functionals on various spaces of almost Hermitian structures on a compact manifold <span>(M^{2n})</span>. We present a general framework, introducing the notion of gradient of an almost Hermitian functional. As a consequence of the diffeomorphism invariance, we show that a Schur’s type theorem still holds for general almost Hermitian functionals, generalizing a known fact for Riemannian functionals. We present two concrete examples, the Gauduchon’s functional and a close relative of it. These functionals have been studied previously, but not in the most general setup as we do here, and we make some new observations about their critical points.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"65 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139647779","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信