The existence of a billiard orbit in the regular hyperbolic simplex

Oded Badt; Yaron Ostrover

doi:10.1142/S1793525314500022

The existence of a billiard orbit in the regular hyperbolic simplex

Oded Badt, Yaron Ostrover

School of Mathematical Sciences

Tel Aviv University

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

Abstract

In this note we establish the existence of a n + 1 periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.

Original language	English
Pages (from-to)	107-123
Number of pages	17
Journal	Journal of Topology and Analysis
Volume	6
Issue number	1
DOIs	https://doi.org/10.1142/S1793525314500022
State	Published - Mar 2014

Keywords

Billiard dynamics
hyperbolic geometry
periodic trajectories

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology

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10.1142/S1793525314500022

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title = "The existence of a billiard orbit in the regular hyperbolic simplex",

abstract = "In this note we establish the existence of a n + 1 periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.",

keywords = "Billiard dynamics, hyperbolic geometry, periodic trajectories",

author = "Oded Badt and Yaron Ostrover",

note = "Funding Information: Y.O. was partially supported by a Reintegration Grant SSGHD-268274 within the 7th European community framework programme, and by the ISF grant No. 1057/10.",

year = "2014",

month = mar,

doi = "10.1142/S1793525314500022",

language = "الإنجليزيّة",

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journal = "Journal of Topology and Analysis",

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AU - Badt, Oded

AU - Ostrover, Yaron

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PY - 2014/3

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N2 - In this note we establish the existence of a n + 1 periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.

AB - In this note we establish the existence of a n + 1 periodic billiard trajectory inside an n-dimensional regular simplex in the hyperbolic space, which hits the interior of every facet exactly once.

KW - Billiard dynamics

KW - hyperbolic geometry

KW - periodic trajectories

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U2 - 10.1142/S1793525314500022

DO - 10.1142/S1793525314500022

M3 - مقالة

SN - 1793-5253

VL - 6

SP - 107

EP - 123

JO - Journal of Topology and Analysis

JF - Journal of Topology and Analysis

IS - 1

ER -

The existence of a billiard orbit in the regular hyperbolic simplex

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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