A class of incomplete non-positively curved manifolds

Brian Bowditch

Vol. 172 (1996), No. 1, 1–39

DOI: 10.2140/pjm.1996.172.1

Abstract

In this paper, we describe a class of simply connected non-positively curved riemannian manifolds which satisfy some curvature constraints. Such manifolds have many of the properties of (complete) Hadamard manifolds, such as geodesic convexity and the existence of an ideal boundary.

Mathematical Subject Classification 2000

Primary: 53C21

Secondary: 53C20

Milestones

Received: 30 July 1993

Revised: 12 June 1995

Published: 1 January 1996