Affiliation:
1. Department of Mathematics , Jinan University, Guangzhou 510632, PR China
Abstract
Abstract
In this paper, we present finite topological type theorems for open manifolds with non-negative Ricci curvature, under almost maximal local rewinding volume. Unlike previous related research, our theorems remove the constraints of sectional curvature or conjugate radius, which were crucial additional assumptions on metric regularity in prior results. Notably, our settings do not necessarily satisfy a triangle comparison of Toponogov type. In fact, the method we adopt also extends to many previous related studies.
Funder
China Postdoctoral Science Foundation/Guang-dong Natural Science Foundation
Publisher
Oxford University Press (OUP)