Myers-type theorems via m-Bakry–Émery Ricci curvatures of quartic decays

DOI10.1142/s0129167x23500337zbMath1529.53034OpenAlexW4327614212WikidataQ123367155 ScholiaQ123367155MaRDI QIDQ6087765

Homare Tadano

Publication date: 16 November 2023

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x23500337

zbMATH Keywords

Bakry-Émery Ricci curvaturediameter boundMyers-type theorem

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Unnamed Item
• The Bakry-Emery Ricci tensor and its applications to some compactness theorems
• 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
• Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
• Some Cheeger-Gromov-Taylor type compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures
• A Myers-type compactness theorem by the use of Bakry-Emery Ricci tensor
• On Ricci curvature and geodesics
• \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\)
• Riemannian manifolds with positive mean curvature

This page was built for publication: Myers-type theorems via m-Bakry–Émery Ricci curvatures of quartic decays