Comparison geometry for integral radial Bakry-Émery Ricci tensor bounds

DOI10.1007/S11118-021-09937-WOpenAlexW3177179790MaRDI QIDQ2681948

Jia-Yong Wu

Publication date: 31 January 2023

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.03064

zbMATH Keywords

comparison theoremeigenvalue estimatesmooth metric measure spaceintegral curvatureBakry-Émery Ricci tensordiameter estimate

Mathematics Subject Classification ID

Integral geometry (53C65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• Fundamental groups of spaces with Bakry-Emery Ricci tensor bounded below
• Comparison geometry for the Bakry-Emery Ricci tensor
• Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
• Eigenvalue comparison theorems and its geometric applications
• Relative volume comparison with integral curvature bounds
• Myers' type theorem with the Bakry-Émery Ricci tensor
• Local Sobolev constant estimate for integral Ricci curvature bounds
• Comparison geometry for integral Bakry-Émery Ricci tensor bounds
• Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
• Integral curvature bounds, distance estimates and applications
• A heat kernel lower bound for integral Ricci curvature
• Integral pinching theorems
• Myers' type theorem for integral Bakry-Émery Ricci tensor bounds
• \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters
• Zhong-Yang type eigenvalue estimate with integral curvature condition
• Local Sobolev constant estimate for integral Bakry-Émery Ricci curvature
• First eigenvalue of the \(p\)-Laplacian under integral curvature condition
• Bounds on the Volume Entropy and Simplicial Volume in Ricci Curvature Lp-Bounded from Below
• Analysis and geometry on manifolds with integral Ricci curvature bounds. II
• Finiteness of π1π1 and geometric inequalities in almost positive Ricci curvature

This page was built for publication: Comparison geometry for integral radial Bakry-Émery Ricci tensor bounds