Collisions in semi-dispersing billiard on Riemannian manifold

D. Burago; S. Ferleger; A. Kononenko

doi:10.1016/S0166-8641(01)00133-X

Collisions in semi-dispersing billiard on Riemannian manifold

D. Burago
, S. Ferleger
, A. Kononenko

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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)
Pages (from-to)	87-103
Number of pages	17
Journal	Topology and its Applications
Volume	122
Issue number	1-2
DOIs	https://doi.org/10.1016/S0166-8641(01)00133-X
State	Published - Jul 16 2002

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/S0166-8641(01)00133-X

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title = "Collisions in semi-dispersing billiard on Riemannian manifold",

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.",

author = "D. Burago and S. Ferleger and A. Kononenko",

note = "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.",

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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.

UR - https://www.scopus.com/pages/publications/0037675772

UR - https://www.scopus.com/pages/publications/0037675772#tab=citedBy

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 -

Collisions in semi-dispersing billiard on Riemannian manifold

Abstract

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