AN INTRINSIC PROOF OF THE GENERALIZED HADAMARD-CARTAN THEOREM

Yong-Il Kim (Korea) and Doohann Lee (Korea)

Received March 7, 2008

Abstract

In this paper, we prove in a simple intrinsic way that every pair of two points in a singular Hadamard space is connected by a unique shortest path.

Keywords and phrases: singular Hadamard space, Hadamard-Cartan theorem.