Vol. 197, No. 2, 2001

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Symmetric Busemann functions

Bhalchandra Phadke

Vol. 197 (2001), No. 2, 417–421
Abstract

In this paper we prove a result connecting symmetric spaces on one hand and symmetry of Busemann functions and the co-ray relation on the other. We then apply the result to hyperbolic and Minkowski geometries thus completing a line of inquiry initiated jointly with Busemann but left unfinished during his lifetime.

Milestones
Received: 28 January 1999
Published: 1 February 2001
Authors
Bhalchandra Phadke
The Flinders University of South Australia
Bedford Park
South Australia 5042
Australia