\(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters
type: Item
instance of: scholarly article
title: \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters
zbMATH Open document ID: 1486.53047
author: Homare Tadano
published in: Differential Geometry and its Applications
publication date: 2022-02-11T00:00:00Z
Mathematics Subject Classification ID: 53C20
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 7472481
zbMATH Keywords: Myers theorem
zbMATH Keywords: diameter bound
zbMATH Keywords: fundamental group
zbMATH Keywords: \(m\)-Bakry-Émery Ricci curvature
zbMATH Keywords: \(m\)-modified Bakry-Émery Ricci curvature
zbMATH Keywords: Riccati inequality
MaRDI profile type: Publication
full work available at URL: j.difgeo.2021.101832
OpenAlex ID: W4200116272
Wikidata QID: Q115354455
cites work: A theorem of Myers
cites work: Q5186515
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: A remark on compact Ricci solitons
cites work: A generalization of Myers theorem and an application to relativistic cosmology
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: Riemannian manifolds with positive mean curvature
cites work: Q4351614
cites work: Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
cites work: Integral curvature bounds and bounded diameter
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: Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)
cites work: Optimal Transport
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: ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE
DOI: 10.1016/J.DIFGEO.2021.101832
Recommended article: Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
Recommended article: Integral curvature bounds and bounded diameter with Bakry-Emery Ricci tensor
Recommended article: Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
Recommended article: The structure of spaces with Bakry-Émery Ricci curvature bounded below
Recommended article: The Bakry-Emery Ricci tensor and its applications to some compactness theorems
Recommended article: Bounds on harmonic radius and limits of manifolds with bounded Bakry-Émery Ricci curvature
Recommended article: Bakry-Emery curvature operator and Ricci flow
Recommended article: A note on nonnegative Bakry-Émery Ricci curvature
Recommended article: Rigidity of manifolds with Bakry-Émery Ricci curvature bounded below
Recommended article: Bakry-Émery Ricci curvature bounds for doubly warped products of weighted spaces
description: scientific article; zbMATH DE number 7472481