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
The zeta-determinant of the Dirichlet-to-Neumann operator on forms 形式上的狄利克特到诺伊曼算子的zeta决定子
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-10-07 DOI: 10.1007/s10455-024-09975-8
Klaus Kirsten, Yoonweon Lee
{"title":"The zeta-determinant of the Dirichlet-to-Neumann operator on forms","authors":"Klaus Kirsten,&nbsp;Yoonweon Lee","doi":"10.1007/s10455-024-09975-8","DOIUrl":"10.1007/s10455-024-09975-8","url":null,"abstract":"<div><p>On a compact Riemannian manifold <i>M</i> with boundary <i>Y</i>, we express the log of the zeta-determinant of the Dirichlet-to-Neumann operator acting on <i>q</i>-forms on <i>Y</i> as the difference of the log of the zeta-determinant of the Laplacian on <i>q</i>-forms on <i>M</i> with the absolute boundary condition and that of the Laplacian with the Dirichlet boundary condition with an additional term which is expressed by curvature tensors. When the dimension of <i>M</i> is 2 and 3, we compute these terms explicitly. We also discuss the value of the zeta function at zero associated to the Dirichlet-to-Neumann operator by using a metric rescaling method. As an application, we recover the result of the conformal invariance obtained in Guillarmou and Guillope (Int Math Res Not IMRN 2007(22):rnm099, 2007) when <span>({text {dim}}M = 2)</span>.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 4","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410453","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
A critical perturbation result in prescribing scalar curvature under boundary conditions 边界条件下规定标量曲率的临界扰动结果
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-10-07 DOI: 10.1007/s10455-024-09976-7
Azeb Alghanemi, Aymen Bensouf, Hichem Chtioui
{"title":"A critical perturbation result in prescribing scalar curvature under boundary conditions","authors":"Azeb Alghanemi,&nbsp;Aymen Bensouf,&nbsp;Hichem Chtioui","doi":"10.1007/s10455-024-09976-7","DOIUrl":"10.1007/s10455-024-09976-7","url":null,"abstract":"<div><p>We consider the problem of finding conformal metrics on the standard half sphere with prescribed scalar curvature and zero-boundary mean curvature. We prove a perturbation result when the curvature function is flat near its boundary critical points. As a product we extend some previous well known results and provide an entirely new one.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 4","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410452","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 the Gromov–Hausdorff limits of compact surfaces with boundary 关于有边界的紧凑曲面的格罗莫夫-豪斯多夫极限
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-10-01 DOI: 10.1007/s10455-024-09973-w
Tobias Dott
{"title":"On the Gromov–Hausdorff limits of compact surfaces with boundary","authors":"Tobias Dott","doi":"10.1007/s10455-024-09973-w","DOIUrl":"10.1007/s10455-024-09973-w","url":null,"abstract":"<div><p>In this work we investigate Gromov–Hausdorff limits of compact surfaces carrying length metrics. More precisely, we consider the case where all surfaces have the same Euler characteristic. We give a complete description of the limit spaces and study their topological properties. Our investigation builds on the results of a previous work which treats the case of closed surfaces.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09973-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409301","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
Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics 具有特殊赫米特度量的紧凑复流形的福禄克谱序列
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-10-01 DOI: 10.1007/s10455-024-09972-x
Adela Latorre, Luis Ugarte, Raquel Villacampa
{"title":"Frölicher spectral sequence of compact complex manifolds with special Hermitian metrics","authors":"Adela Latorre,&nbsp;Luis Ugarte,&nbsp;Raquel Villacampa","doi":"10.1007/s10455-024-09972-x","DOIUrl":"10.1007/s10455-024-09972-x","url":null,"abstract":"<div><p>In this paper we focus on the interplay between the behaviour of the Frölicher spectral sequence and the existence of special Hermitian metrics on the manifold, such as balanced, SKT or generalized Gauduchon. The study of balanced metrics on nilmanifolds endowed with strongly non-nilpotent complex structures allows us to provide infinite families of compact balanced manifolds with Frölicher spectral sequence not degenerating at the second page. Moreover, this result is extended to non-degeneration at any arbitrary page. Similar results are obtained for the Frölicher spectral sequence of compact generalized Gauduchon manifolds. We also find a compact SKT manifold whose Frölicher spectral sequence does not degenerate at the second page, thus providing a counterexample to a conjecture by Popovici.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09972-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409364","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
Compact minimal submanifolds of the Riemannian symmetric spaces ({{textbf {S}}U}(n)/textbf{SO}(n)), ({{textbf {S}}p}(n)/{{textbf {U}}}(n)), (textbf{SO}(2n)/{{textbf {U}}}(n)), ({{textbf {S}}U}(2n)/{{textbf {S}}p}(n)) via complex-valued eigenfunctions Riemannian 对称空间的紧凑最小子漫游空间 （{textbf {S}U}(n)/textbf{SO}(n)), （{textbf {S}p}(n)/{textbf {U}}(n))、通过复值特征函数，(textbf{SO}(2n)/{{textbf {U}}(n)), ({{textbf {S}}U}(2n)/{{textbf {S}}p}(n))
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-09-27 DOI: 10.1007/s10455-024-09974-9
Johanna Marie Gegenfurtner, Sigmundur Gudmundsson
{"title":"Compact minimal submanifolds of the Riemannian symmetric spaces ({{textbf {S}}U}(n)/textbf{SO}(n)), ({{textbf {S}}p}(n)/{{textbf {U}}}(n)), (textbf{SO}(2n)/{{textbf {U}}}(n)), ({{textbf {S}}U}(2n)/{{textbf {S}}p}(n)) via complex-valued eigenfunctions","authors":"Johanna Marie Gegenfurtner,&nbsp;Sigmundur Gudmundsson","doi":"10.1007/s10455-024-09974-9","DOIUrl":"10.1007/s10455-024-09974-9","url":null,"abstract":"<div><p>In this work we construct new multi-dimensional families of compact minimal submanifolds of the classical Riemannian symmetric spaces <span>({{textbf {S}}U}(n)/textbf{SO}(n))</span>, <span>({{textbf {S}}p}(n)/{{textbf {U}}}(n))</span>, <span>(textbf{SO}(2n)/{{textbf {U}}}(n))</span> and <span>({{textbf {S}}U}(2n)/{{textbf {S}}p}(n))</span> of codimension two.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09974-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414509","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
Heat-type equations on manifolds with fibered boundaries I: Schauder estimates 有纤维边界流形上的热型方程 I：绍德估计
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-09-26 DOI: 10.1007/s10455-024-09970-z
Bruno Caldeira, Giuseppe Gentile
{"title":"Heat-type equations on manifolds with fibered boundaries I: Schauder estimates","authors":"Bruno Caldeira,&nbsp;Giuseppe Gentile","doi":"10.1007/s10455-024-09970-z","DOIUrl":"10.1007/s10455-024-09970-z","url":null,"abstract":"<div><p>In this paper, we prove parabolic Schauder estimates for the Laplace-Beltrami operator on a manifold <i>M</i> with fibered boundary and a <span>(Phi )</span>-metric <span>(g_Phi )</span>. This setting generalizes the asymptotically conical (scattering) spaces and includes special cases of gravitational instantons. This paper, combined with part II, lay the crucial groundwork for forthcoming discussions on geometric flows in this setting; especially the Yamabe- and mean curvature flow.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413911","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
Estimates of Kähler metrics on noncompact finite volume hyperbolic Riemann surfaces, and their symmetric products 非紧凑有限体积双曲黎曼曲面上的凯勒度量及其对称积的估算
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-09-25 DOI: 10.1007/s10455-024-09967-8
Anilatmaja Aryasomayajula, Arijit Mukherjee
{"title":"Estimates of Kähler metrics on noncompact finite volume hyperbolic Riemann surfaces, and their symmetric products","authors":"Anilatmaja Aryasomayajula,&nbsp;Arijit Mukherjee","doi":"10.1007/s10455-024-09967-8","DOIUrl":"10.1007/s10455-024-09967-8","url":null,"abstract":"<div><p>Let <i>X</i> denote a noncompact finite volume hyperbolic Riemann surface of genus <span>(gge 2)</span>, with only one puncture at <span>(iinfty )</span> (identifying <i>X</i> with its universal cover <span>({mathbb {H}})</span>). Let <span>({{{overline{X}}}}:=Xcup lbrace iinfty rbrace )</span> denote the Satake compactification of <i>X</i>. Let <span>(Omega _{{{{overline{X}}}}})</span> denote the cotangent bundle on <span>({{{overline{X}}}})</span>. For <span>(kgg 1)</span>, we derive an estimate for <span>(mu _{{ {overline{X}}}}^{textrm{Ber},{{k}}})</span>, the Bergman metric associated to the line bundle <span>({{mathcal {L}}}^{k}:=Omega _{{{{overline{X}}}}}^{otimes {{k}}}otimes {{mathcal {O}}}_{{{{overline{X}}}}}((k-1)iinfty ))</span>. For a given <span>(dge 1)</span>, the pull-back of the Fubini-Study metric on the Grassmannian, which we denote by <span>(mu _{textrm{Sym}^{{d}}({{overline{X}}})}^{textrm{FS},k})</span>, defines a Kähler metric on <span>(textrm{Sym}^{{d}}({{overline{X}}}))</span>, the <i>d</i>-fold symmetric product of <span>({{{overline{X}}}})</span>. Using our estimates of <span>(mu _{{ {overline{X}}}}^{textrm{Ber},{{k}}})</span>, as an application, we derive an estimate for <span>(mu _{textrm{Sym}^{{d}}({{overline{X}}}),textrm{vol}}^{textrm{FS},k})</span>, the volume form associated to the (1,1)-form <span>(mu _{textrm{Sym}^{{d}}({{overline{X}}})}^{textrm{FS},k})</span>.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413790","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 effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes 论一类静态空间中完全脐状超曲面的空能条件效应
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-09-16 DOI: 10.1007/s10455-024-09969-6
Markus Wolff
{"title":"On effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes","authors":"Markus Wolff","doi":"10.1007/s10455-024-09969-6","DOIUrl":"10.1007/s10455-024-09969-6","url":null,"abstract":"<div><p>We study the effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes, both in the spacelike and the timelike case, respectively. In the spacelike case, we study totally umbilic warped product graphs and give a full characterization of embedded surfaces with constant spacetime mean curvature using an Alexandrov Theorem by Brendle and Borghini–Fogagnolo–Pinamonti. In the timelike case, we achieve a characterization of photon surfaces with constant umbilicity factor similar to a result by Cederbaum–Galloway.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-024-09969-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142268056","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
Locally constrained inverse curvature flow and Hu–Li’s conjecture 局部约束反曲率流和胡李猜想
IF 0.6 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2024-09-05 DOI: 10.1007/s10455-024-09968-7
Kuicheng Ma
{"title":"Locally constrained inverse curvature flow and Hu–Li’s conjecture","authors":"Kuicheng Ma","doi":"10.1007/s10455-024-09968-7","DOIUrl":"10.1007/s10455-024-09968-7","url":null,"abstract":"<div><p>In this paper, an Alexandrov–Fenchel inequality is established for closed 2-convex spacelike hypersurface in de Sitter space by investigating the behavior of some locally constrained inverse curvature flow, which provides a partial answer to the conjecture raised by Hu and Li in (Adv Math 413:108826, 2023).</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 3","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142209483","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: 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
{"title":"Correction: The geometry of compact homogeneous spaces with two isotropy summands","authors":"William Dickinson,&nbsp;Megan M. Kerr","doi":"10.1007/s10455-024-09966-9","DOIUrl":"10.1007/s10455-024-09966-9","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"66 2","pages":""},"PeriodicalIF":0.6,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414044","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：481959085
Book学术官方微信