Horoballs in simplices and Minkowski spaces

A. Karlsson, V. Metz and G. A. Noskov

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-20

Abstract:

We obtain precise descriptions of all horoballs for Hilbert's geometry on simplices and for normed finite-dimensional vector spaces with norm given by some polyhedron. Certain geometrical consequences are deduced and several other applications are pointed out, which concern the dynamics of important classes of nonlinear self-maps of convex cones.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:023656

DOI: 10.1155/IJMMS/2006/23656

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