TY - JOUR
T1 - Collisions in semi-dispersing billiard on Riemannian manifold
AU - Burago, D.
AU - Ferleger, S.
AU - Kononenko, A.
N1 - Funding Information:
*Corresponding author. Partially supported by NSF DMS-9803092.
Funding Information:
E-mail addresses: [email protected] (D. Burago), [email protected] (S. Ferleger), [email protected] (A. Kononenko). 1Partially supported by NSF DMS-9803129. 2Partially supported by NSF DMS-9971587.
PY - 2002/7/16
Y1 - 2002/7/16
N2 - 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.
AB - 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.
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U2 - 10.1016/S0166-8641(01)00133-X
DO - 10.1016/S0166-8641(01)00133-X
M3 - Article
AN - SCOPUS:0037675772
SN - 0166-8641
VL - 122
SP - 87
EP - 103
JO - Topology and its Applications
JF - Topology and its Applications
IS - 1-2
ER -