An extension of Bonnet-Myers theorem

DOI10.1007/S00209-018-2078-1zbMath1415.53022arXiv1705.04797OpenAlexW2963504991MaRDI QIDQ2633061

Jianming Wan

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04797

zbMATH Keywords

Ricci curvaturerayBonnet-Myers theorem

Mathematics Subject Classification ID

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

Related Items (7)

A note on compactness theorems for the Bakry-Émery Ricci tensor and generalized quasi-Einstein tensors ⋮ Generalizations of Bonnet-Myers theorem on Finsler manifolds ⋮ Comparison theorems on Riemannian-Finsler manifolds with curvature quartic decay and their applications ⋮ Myers-type compactness theorem with the Bakry-Emery Ricci tensor ⋮ Some Myers-Type Theorems and Comparison Theorems for Manifolds with Modified Ricci Curvature ⋮ Comparison theorems on Riemannian–Finsler manifolds with curvature quadratic decay and their applications ⋮ Extensions of Bonnet-Myers-type theorems with the Bakry-Emery Ricci curvature

Cites Work

• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• A comparison-estimate of Toponogov type for Ricci curvature
• On Ricci curvature and geodesics

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