Geometric inequalities for manifolds with Ricci curvature in the Kato class

Annales de l’institut Fourier ◽

10.5802/aif.3346 ◽

2020 ◽

Vol 69 (7) ◽

pp. 3095-3167 ◽

Cited By ~ 1

Author(s):

Gilles Carron

Keyword(s):

Ricci Curvature ◽

Geometric Inequalities ◽

Kato Class

Download Full-text

The Kato class on compact manifolds with integral bounds on the negative part of Ricci curvature

Proceedings of the American Mathematical Society ◽

10.1090/proc/13399 ◽

2017 ◽

Vol 145 (5) ◽

pp. 2199-2210 ◽

Cited By ~ 3

Author(s):

Christian Rose ◽

Peter Stollmann

Keyword(s):

Ricci Curvature ◽

Compact Manifolds ◽

Negative Part ◽

Kato Class

Download Full-text

Li–Yau gradient estimate for compact manifolds with negative part of Ricci curvature in the Kato class

Annals of Global Analysis and Geometry ◽

10.1007/s10455-018-9634-0 ◽

2018 ◽

Vol 55 (3) ◽

pp. 443-449 ◽

Cited By ~ 2

Author(s):

Christian Rose

Keyword(s):

Ricci Curvature ◽

Gradient Estimate ◽

Compact Manifolds ◽

Negative Part ◽

Kato Class

Download Full-text

Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

Annales Scientifiques de l École Normale Supérieure ◽

10.1016/j.ansens.2007.07.001 ◽

2007 ◽

Vol 40 (4) ◽

pp. 675-695 ◽

Cited By ~ 16

Author(s):

E AUBRY

Keyword(s):

Ricci Curvature ◽

Geometric Inequalities ◽

Positive Ricci Curvature

Download Full-text

Manifolds with Ricci Curvature in the Kato Class: Heat Kernel Bounds and Applications

Analysis and Geometry on Graphs and Manifolds ◽

10.1017/9781108615259.006 ◽

2020 ◽

pp. 76-94

Author(s):

Christian Rose ◽

Peter Stollmann

Keyword(s):

Heat Kernel ◽

Ricci Curvature ◽

Kato Class ◽

Kernel Bounds

Download Full-text

Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

Inventiones mathematicae ◽

10.1007/s00222-020-00985-4 ◽

2020 ◽

Vol 222 (3) ◽

pp. 1033-1101

Author(s):

Virginia Agostiniani ◽

Mattia Fogagnolo ◽

Lorenzo Mazzieri

Keyword(s):

Ricci Curvature ◽

Geometric Inequalities ◽

Nonnegative Ricci Curvature ◽

Closed Hypersurfaces

Download Full-text

Ollivier Persistent Ricci Curvature-Based Machine Learning for the Protein–Ligand Binding Affinity Prediction

Journal of Chemical Information and Modeling ◽

10.1021/acs.jcim.0c01415 ◽

2021 ◽

Author(s):

JunJie Wee ◽

Kelin Xia

Keyword(s):

Machine Learning ◽

Ligand Binding ◽

Binding Affinity ◽

Ricci Curvature ◽

Binding Affinity Prediction ◽

Affinity Prediction

Download Full-text

KBER: A kernel bandwidth estimate using the Ricci curvature

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2021.1914099 ◽

2021 ◽

pp. 1-13

Author(s):

Abdelrahman Eid ◽

Nicolas Wicker

Keyword(s):

Ricci Curvature

Download Full-text

Prescribing Ricci curvature on a product of spheres

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-021-01105-6 ◽

2021 ◽

Author(s):

Timothy Buttsworth ◽

Anusha M. Krishnan

Keyword(s):

Ricci Curvature ◽

Product Of Spheres

Download Full-text

On the Ricci Curvature of Compact Spacelike Hypersurfaces in Einstein Conformally Stationary-Closed Spacetimes

General Relativity and Gravitation ◽

10.1023/a:1022914101755 ◽

2003 ◽

Vol 35 (4) ◽

pp. 651-665 ◽

Cited By ~ 1

Author(s):

Juan A. Aledo ◽

José A. Gálvez

Keyword(s):

Ricci Curvature ◽

Spacelike Hypersurfaces

Download Full-text

HARNACK-TYPE INEQUALITIES FOR THE POROUS MEDIUM EQUATION ON A MANIFOLD WITH NON-NEGATIVE RICCI CURVATURE

International Journal of Mathematics ◽

10.1142/s0129167x11007525 ◽

2012 ◽

Vol 23 (04) ◽

pp. 1250009 ◽

Cited By ~ 2

Author(s):

JEONGWOOK CHANG ◽

JINHO LEE

Keyword(s):

Porous Medium ◽

Riemannian Manifold ◽

Ricci Curvature ◽

Porous Medium Equation ◽

Complete Riemannian Manifold ◽

Gradient Estimates ◽

Medium Equation

We derive Harnack-type inequalities for non-negative solutions of the porous medium equation on a complete Riemannian manifold with non-negative Ricci curvature. Along with gradient estimates, reparametrization of a geodesic and time rescaling of a solution are key tools to get the results.

Download Full-text