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
On bounds of entropy and total curvature for ancient curve shortening flows 古弯曲缩短流的熵和总曲率边界
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-10-06 DOI: 10.1007/s10455-025-10019-y
Wei-Bo Su, Kai-Wei Zhao
{"title":"On bounds of entropy and total curvature for ancient curve shortening flows","authors":"Wei-Bo Su,&nbsp;Kai-Wei Zhao","doi":"10.1007/s10455-025-10019-y","DOIUrl":"10.1007/s10455-025-10019-y","url":null,"abstract":"<div><p>Bounds of total curvature and entropy are two common conditions placed on mean curvature flows. We show that these two hypotheses are equivalent for the class of ancient complete embedded smooth planar curve shortening flows, which are one-dimensional mean curvature flows. As an application, we give a short proof of the uniqueness and classification of tangent flow at infinity of an ancient smooth complete non-compact curve shortening flow with finite entropy embedded in <span>(mathbb {R}^2)</span>.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 4","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-025-10019-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256400","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
On a variational problem for curves in Lie sphere geometry 李球几何中曲线的一个变分问题
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-10-03 DOI: 10.1007/s10455-025-10021-4
Lorenzo Nicolodi
{"title":"On a variational problem for curves in Lie sphere geometry","authors":"Lorenzo Nicolodi","doi":"10.1007/s10455-025-10021-4","DOIUrl":"10.1007/s10455-025-10021-4","url":null,"abstract":"<div><p>Let <span>(Lambda )</span> be the unit tangent bundle of the unit 3-sphere acted on transitively by the contact group of Lie sphere transformations. We study the Lie sphere geometry of generic curves in <span>(Lambda )</span> which are everywhere transversal to the contact distribution of <span>(Lambda )</span>. By the method of moving frames, we prove that such curves can be parametrized by a Lie-invariant parameter, the Lie arclength, and that in this parametrization they are uniquely determined, up to Lie sphere transformation, by four local invariants, the Lie curvatures. We then consider the simplest Lie-invariant functional on generic transversal curves defined by integrating the differential of the Lie arclength. The corresponding Euler–Lagrange equations are computed and the critical curves are characterized in terms of their Lie curvatures. In our discussion, we adopt Griffiths’ exterior differential systems approach to the calculus of variations.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 4","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210599","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 bundles on the homogeneous varieties of type (G_2) 均匀束上均质型品种 (G_2)
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-10-03 DOI: 10.1007/s10455-025-10022-3
Xinyi Fang
{"title":"Uniform bundles on the homogeneous varieties of type (G_2)","authors":"Xinyi Fang","doi":"10.1007/s10455-025-10022-3","DOIUrl":"10.1007/s10455-025-10022-3","url":null,"abstract":"<div><p>In this paper, we study holomorphic vector bundles on the homogeneous varieties <span>(G_2/P_1cong mathbb {Q}^5)</span> and <span>(G_2/P_2)</span>. We prove that if a rank 2 vector bundle <i>E</i> on <span>(G_2/P_i~(i=1,2))</span> is uniform with respect to the special family of lines, then <i>E</i> is either a direct sum of line bundles or an indecomposable 2-bundle, which is unique up to twist. As a consequence, we give a new characterization of the Cayley bundles on <span>(mathbb {Q}^5)</span>.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 4","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210600","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
Topology and bottom spectrum of transversally negatively curved foliations 横向负弯曲叶理的拓扑结构和底谱
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-29 DOI: 10.1007/s10455-025-10020-5
Fabrice Baudoin
{"title":"Topology and bottom spectrum of transversally negatively curved foliations","authors":"Fabrice Baudoin","doi":"10.1007/s10455-025-10020-5","DOIUrl":"10.1007/s10455-025-10020-5","url":null,"abstract":"<div><p>We show that for any Riemannian foliation with a simply connected and negatively curved leaf space the normal exponential map of a leaf is a diffeomorphism. As an application, if the leaves are furthermore minimal submanifolds, we give a sharp estimate for the bottom of the spectrum of such a Riemannian manifold. Our proof of the spectral estimate also yields an estimate for the bottom of the spectrum of the horizontal Laplacian.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-025-10020-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210695","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
Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds 紧齐次不可约黎曼流形的和规则和尖锐特征值界
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-22 DOI: 10.1007/s10455-025-10018-z
Luigi Provenzano, Joachim Stubbe
{"title":"Sum rules and sharp eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds","authors":"Luigi Provenzano,&nbsp;Joachim Stubbe","doi":"10.1007/s10455-025-10018-z","DOIUrl":"10.1007/s10455-025-10018-z","url":null,"abstract":"<div><p>We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sharp universal eigenvalue inequalities and sharp Weyl bounds on Riesz means. The approach is non variational and is based on identities for spectral quantities in the form of sum rules.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-025-10018-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145100798","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 relative (textrm{SO}_0(2,q))-character varieties of punctured spheres 致密相对(textrm{SO}_0(2,q)) -穿孔球的特征变种
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-22 DOI: 10.1007/s10455-025-10016-1
Yu Feng, Junming Zhang
{"title":"Compact relative (textrm{SO}_0(2,q))-character varieties of punctured spheres","authors":"Yu Feng,&nbsp;Junming Zhang","doi":"10.1007/s10455-025-10016-1","DOIUrl":"10.1007/s10455-025-10016-1","url":null,"abstract":"<div><p>We prove that there are relative <span>({textrm{SO}}_0(2,q))</span>-character varieties of the punctured sphere which are compact, totally non-hyperbolic and contain a dense representation. This work fills a remaining case of the results of N. Tholozan and J. Toulisse. Our approach relies on the non-abelian Hodge correspondence and we study the moduli space of parabolic <span>({textrm{SO}}_0(2,q))</span>-Higgs bundles with some fixed weight. Additionally, we provide a construction based on Geometric Invariant Theory (GIT) to demonstrate that the considered moduli spaces can be viewed as a projective variety over <span>(mathbb {C})</span>.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110615","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
Publisher Correction: Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below 出版者更正：Hodge-Laplacian的小特征值与截面曲率边界如下
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-15 DOI: 10.1007/s10455-025-10012-5
Colette Anné, Junya Takahashi
{"title":"Publisher Correction: Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below","authors":"Colette Anné,&nbsp;Junya Takahashi","doi":"10.1007/s10455-025-10012-5","DOIUrl":"10.1007/s10455-025-10012-5","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057547","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 a natural (L^2) metric on the space of Hermitian metrics 在自然度规(L^2)上在厄米度规的空间上
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-09-06 DOI: 10.1007/s10455-025-10017-0
Jinwei Gao
{"title":"On a natural (L^2) metric on the space of Hermitian metrics","authors":"Jinwei Gao","doi":"10.1007/s10455-025-10017-0","DOIUrl":"10.1007/s10455-025-10017-0","url":null,"abstract":"<div><p>We investigate the space of Hermitian metrics on a fixed complex vector bundle. This infinite-dimensional space has appeared in the study of Hermitian-Einstein structures, where a special <span>(L^2)</span>-type Riemannian metric is introduced. We compute the metric spray, geodesics and curvature associated to this metric, and show that the exponential map is a diffeomorphism. Though being geodesically complete, the space of Hermitian metrics is metrically incomplete, and its metric completion is proved to be the space of “<span>(L^2)</span> integrable” singular Hermitian metrics. In addition, both the original space and its completion are CAT(0). In the holomorphic case, it turns out that Griffiths seminegative/semipositive singular Hermitian metric is always <span>(L^2)</span> integrable in our sense. Also, in the Appendix, the Nash-Moser inverse function theorem is utilized to prove that, for any <span>(L^2)</span> metric on the space of smooth sections of a given fiber bundle, the exponential map is always a local diffeomorphism, provided that each fiber is nonpositively curved.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 3","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144998581","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
Harmonic Morphisms and Minimal Conformal Foliations on Lie Groups 李群上的调和态射与极小共形叶
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-08-30 DOI: 10.1007/s10455-025-10015-2
Sigmundur Gudmundsson, Thomas Jack Munn
{"title":"Harmonic Morphisms and Minimal Conformal Foliations on Lie Groups","authors":"Sigmundur Gudmundsson,&nbsp;Thomas Jack Munn","doi":"10.1007/s10455-025-10015-2","DOIUrl":"10.1007/s10455-025-10015-2","url":null,"abstract":"<div><p>Let <i>G</i> be a Lie group equipped with a left-invariant Riemannian metric. Let <i>K</i> be a semisimple and normal subgroup of <i>G</i> generating a left-invariant conformal foliation <span>(mathcal {F})</span> on <i>G</i>. We then show that the foliation <span>(mathcal {F})</span> is Riemannian and minimal. This means that locally the leaves of <span>(mathcal {F})</span> are fibres of a harmonic morphism. We also prove that if the metric restricted to <i>K</i> is biinvariant then <span>(mathcal {F})</span> is totally geodesic.</p></div>","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-025-10015-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144920538","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
Correction: Ricci pinched compact submanifolds in spheres 修正：里奇在球体中捏紧紧子流形
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-08-23 DOI: 10.1007/s10455-025-10014-3
Marcos Dajczer, Theodoros Vlachos
{"title":"Correction: Ricci pinched compact submanifolds in spheres","authors":"Marcos Dajczer,&nbsp;Theodoros Vlachos","doi":"10.1007/s10455-025-10014-3","DOIUrl":"10.1007/s10455-025-10014-3","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10455-025-10014-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144891365","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
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