An Upper Bound for the Volumes of Complements of Periodic Geodesics-Reference-Cited by-同舟云学术

An Upper Bound for the Volumes of Complements of Periodic Geodesics

Published:2017-11-09 Issue:15 Volume:2019 Page:4707-4729
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bergeron Maxime¹,Pinsky Tali²,Silberman Lior³

Affiliation:

1. The University of Chicago, Chicago, IL, USA

2. The Technion, Haifa, Israel

3. The University of British Columbia, Vancouver, BC, Canada

Abstract

AbstractA 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.

Funder

NSERC

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2019/15/4707/29028429/rnx231.pdf

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3. “Ein mechanisches system mit quasiergodischen bahnen.”;Artin,;Abh. Math. Semin. Univ. Hambg.,1924

4. “Volumes of hyperbolic three-manifolds associated to modular links.”;Brandts,

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