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# Geodesic flow on ideal polyhedra

Published:1997-08-01
Printed: Aug 1997
• Charalambos Charitos
• Georgios Tsapogas
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## Abstract

In this work we study the geodesic flow on $n$-dimensional ideal polyhedra and establish classical (for manifolds of negative curvature) results concerning the distribution of closed orbits of the flow.
 MSC Classifications: 57M20 - Two-dimensional complexes 53C23 - Global geometric and topological methods (a la Gromov); differential geometric analysis on metric spaces