\(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters
DOI10.1016/j.difgeo.2021.101832zbMath1486.53047OpenAlexW4200116272WikidataQ115354455 ScholiaQ115354455MaRDI QIDQ2074938
Publication date: 11 February 2022
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2021.101832
Myers theoremfundamental groupdiameter bound\(m\)-Bakry-Émery Ricci curvatureRiccati inequality\(m\)-modified Bakry-Émery Ricci curvature
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Cites Work
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- The Bakry-Emery Ricci tensor and its applications to some compactness theorems
- Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
- Compactness in weighted manifolds and applications
- Sectional curvature for Riemannian manifolds with density
- A theorem of Myers
- Comparison geometry for the Bakry-Emery Ricci tensor
- Remark on a diameter bound for complete Riemannian manifolds with positive Bakry-Émery Ricci curvature
- A generalization of Myers theorem and an application to relativistic cosmology
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- Some geometric properties of the Bakry-Émery-Ricci tensor
- Myers' type theorem with the Bakry-Émery Ricci tensor
- Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures
- Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\)
- Some Cheeger-Gromov-Taylor type compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures
- A remark on compact Ricci solitons
- On Ricci curvature and geodesics
- Riemannian manifolds with positive mean curvature
- An upper diameter bound for compact Ricci solitons with application to the Hitchin–Thorpe inequality
- On a theorem of Ambrose
- Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
- Optimal Transport
- ON THE STRUCTURE OF MINIMAL SUBMANIFOLDS IN A RIEMANNIAN MANIFOLD OF NON-NEGATIVE CURVATURE
- Integral curvature bounds and bounded diameter
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