Geometric inequalities for manifolds with Ricci curvature in the Kato class

Author:

Carron Gilles

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Reference60 articles.

1. [1] Agmon, Shmuel On positivity and decay of solutions of second order elliptic equations on Riemannian manifolds, Methods of functional analysis and theory of elliptic equations (Naples, 1982), Liguori Editore, 1982, pp. 19-52

2. [2] Akutagawa, Kazuo Yamabe metrics of positive scalar curvature and conformally flat manifolds, Differ. Geom. Appl., Volume 4 (1994) no. 3, pp. 239-258

3. [3] Auscher, Pascal; Coulhon, Thierry; Duong, Xuan Thinh; Hofmann, Steve Riesz transform on manifolds and heat kernel regularity, Ann. Sci. Éc. Norm. Supér., Volume 37 (2004) no. 6, pp. 911-957

4. [4] Bakry, Dominique Étude des Transformations de Riesz dans les variétés Riemanniennes à courbure de Ricci minorée, Séminaire de probabilités XIX (Lecture Notes in Mathematics) Volume 1247, Springer, 1983, pp. 145-174

5. [5] Brüning, Jochen; Güneysu, Batu Heat kernel estimates and the relative compactness of perturbations by potentials (2016) (https://arxiv.org/abs/1606.00651)

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Heat kernel bounds and Ricci curvature for Lipschitz manifolds;Stochastic Processes and their Applications;2024-04

2. Ricci Flow Under Kato-Type Curvature Lower Bound;The Journal of Geometric Analysis;2024-01-10

3. Quantitative Sobolev Extensions and the Neumann Heat Kernel for Integral Ricci Curvature Conditions;The Journal of Geometric Analysis;2022-12-19

4. Torus stability under Kato bounds on the Ricci curvature;Journal of the London Mathematical Society;2022-12-10

5. Eigenvalue estimates for Kato-type Ricci curvature conditions;Analysis & PDE;2022-12-05

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3