Extensions of the Bonnet–Myers Theorem
Abstract
Abstract In this paper, we present extensions of the classical Bonnet–Myers theorem for Riemannian manifolds with nonnegative Ricci curvature. Our results provide criteria for compactness and a method for estimating the diameter of such manifolds under general curvature conditions. As applications, we establish compactness theorems for manifolds whose Ricci curvature decays at polynomial or exponential rates.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Morphological variations and asymmetry
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Advances in Geometry
- Publisher
- Walter de Gruyter GmbH
- Volume
- 26
- Issue
- 3
- Pages
- 407–414
- Publication date
- 1 July 2026
- Language
- EN