Abstract
We explore a connection between theory of semi-dispersing billiards on smooth Riemannian manifolds and non-regular Riemannian geometry. We construct geometric models of such billiards and use these models to obtain a uniform estimate on the number of collisions in a non-degenerate semi-dispersing billiard.
Original language | English (US) |
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Pages (from-to) | 87-103 |
Number of pages | 17 |
Journal | Topology and its Applications |
Volume | 122 |
Issue number | 1-2 |
DOIs | |
State | Published - Jul 16 2002 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology