An Upper Bound for the Volumes of Complements of Periodic Geodesics

Maxime Bergeron; Tali Pinsky; Lior Silberman

doi:10.1093/imrn/rnx231

An Upper Bound for the Volumes of Complements of Periodic Geodesics

Maxime Bergeron, Tali Pinsky, Lior Silberman

Mathematics

Technion - Israel Institute of Technology

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

Abstract

A periodic geodesic on a surface has a natural lift to the unit tangent bundle; when the complement of this lift is hyperbolic, its volume typically grows as the geodesic gets longer. We give an upper bound for this volume which is linear in the geometric length of the geodesic.

Original language	English
Pages (from-to)	4707-4729
Number of pages	23
Journal	International Mathematics Research Notices
Volume	2019
Issue number	15
DOIs	https://doi.org/10.1093/imrn/rnx231
State	Published - 1 Aug 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnx231

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abstract = "A periodic geodesic on a surface has a natural lift to the unit tangent bundle; when the complement of this lift is hyperbolic, its volume typically grows as the geodesic gets longer. We give an upper bound for this volume which is linear in the geometric length of the geodesic.",

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JO - International Mathematics Research Notices

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An Upper Bound for the Volumes of Complements of Periodic Geodesics

Abstract

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