Tits geometry on ideal boundaries of Busemann non-positively curved space

Abstract

Let $X$ be a non-compact proper Busemann space. We introduce a collection of binary relations on its ideal boundaries generalizing comparison of Tits metric with two key values $\pi$ and $\pi /2$. This allows to use properties of Tits metric known for CAT(0)-space without metric itself.

References in corpus (1)

• Ideal closures of Busemann space and singular Minkowski space

Cited by in corpus (1)

• A.D. Alexandrov's problem for Busemann non-positively curved spaces