Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)
type: Item
instance of: scholarly article
title: Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)
zbMATH Open document ID: 1466.53045
author: Homare Tadano
published in: Differential Geometry and its Applications
publication date: 2021-04-29T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 7341151
zbMATH Keywords: Myers-type theorem
zbMATH Keywords: Ambrose-type theorem
zbMATH Keywords: Galloway-type theorem
zbMATH Keywords: Cheeger-Gromov-Taylor-type theorem
zbMATH Keywords: \(m\)-Bakry-Émery Ricci curvature
zbMATH Keywords: \(m\)-modified Ricci curvature
MaRDI profile type: Publication
full work available at URL: j.difgeo.2021.101720
OpenAlex ID: W3128180218
Wikidata QID: Q115354626
cites work: A theorem of Myers
cites work: Eigenvalue Comparison on Bakry-Emery Manifolds
cites work: Q5186515
cites work: Harnack inequalities on a manifold with positive or negative Ricci curvature
cites work: Some new results on eigenvectors via dimension, diameter, and Ricci curvature
cites work: On Ricci curvature and geodesics
cites work: Compactness in weighted manifolds and applications
cites work: Q4026343
cites work: Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
cites work: Lower bound estimates of the first eigenvalue for the \(f\)-Laplacian and their applications
cites work: A remark on compact Ricci solitons
cites work: On the first eigenvalue of the Witten-Laplacian and the diameter of compact shrinking solitons
cites work: A generalization of Myers theorem and an application to relativistic cosmology
cites work: Compactness Criteria for Riemannian Manifolds
cites work: Q4360235
cites work: Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds
cites work: Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
cites work: The Bakry-Emery Ricci tensor and its applications to some compactness theorems
cites work: Some geometric properties of the Bakry-Émery-Ricci tensor
cites work: Myers-type theorems and some related oscillation results
cites work: Myer's theorem with density
cites work: \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)
cites work: Displacement convexity of generalized relative entropies
cites work: Q4371081
cites work: Q4351614
cites work: A remark on Einstein warped products
cites work: A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor
cites work: Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
cites work: An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality
cites work: Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures
cites work: Some Cheeger-Gromov-Taylor type compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures
cites work: Optimal Transport
cites work: A Myers theorem via \textit{m}-Bakry-Émery curvature
cites work: Comparison geometry for the Bakry-Emery Ricci tensor
cites work: On a theorem of Ambrose
cites work: Myers' type theorem with the Bakry-Émery Ricci tensor
cites work: Sectional curvature for Riemannian manifolds with density
cites work: A theorem of Ambrose for Bakry-Emery Ricci tensor
DOI: 10.1016/J.DIFGEO.2021.101720
description: scientific article; zbMATH DE number 7341151