Horoballs in simplices and Minkowski spaces

DOI10.1155/IJMMS/2006/23656zbMath1144.52016MaRDI QIDQ933860

Guennadi A. Noskov, Volker Metz, Anders Karlsson

Publication date: 28 July 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54469

zbMATH Keywords

nonlinear self-maps of convex cones

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Polytopes and polyhedra (52B99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Minkowski geometries in nonlinear incidence geometry (51B20)

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• Non-expanding maps and Busemann functions
• Extensions of Jentzsch's Theorem
• Hilbert’s projective metric and iterated nonlinear maps
• The Contraction Mapping Approach to the Perron-Frobenius Theory: Why Hilbert's Metric?

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