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Geodesic flow on ideal polyhedra. (English) Zbl 0904.52004
The authors define an $$n$$-dimensional ideal polyhedron to be a complete, locally finite union of ideal $$n$$-dimensional hyperbolic polytopes, glued along $$(n-1)$$-faces, with at least two polytopes meeting in each $$(n-1)$$-face. In their main result, the authors assert the density of closed geodesics and the existence of dense geodesics for finite ideal polyhedra.
Reviewer: W.Ballmann (Bonn)

##### MSC:
 52B11 $$n$$-dimensional polytopes 53C20 Global Riemannian geometry, including pinching 37D40 Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) 53D25 Geodesic flows in symplectic geometry and contact geometry
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