Complete open manifolds of non-negative radial curvature

Yoshiroh Machigashira

Vol. 165 (1994), No. 1, 153–160

DOI: 10.2140/pjm.1994.165.153

Abstract

We generalize the Toponogov hinge theorem and the Alexandrov convexity to the context of radial curvature, and study complete open Riemannian manifolds of non-negative radial curvature.

Mathematical Subject Classification 2000

Primary: 53C21

Secondary: 53C20

Milestones

Received: 21 May 1992

Published: 1 September 1994