Vol. 318, No. 1, 2022

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 320: 1
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Vol. 315: 1  2
Vol. 314: 1  2
Vol. 313: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
This article is available for purchase or by subscription. See below.
Short closed geodesics on cusped hyperbolic surfaces

Hanh Vo

Vol. 318 (2022), No. 1, 127–151
DOI: 10.2140/pjm.2022.318.127
Abstract

This article deals with the set of closed geodesics on complete finite type hyperbolic surfaces. For any nonnegative integer k, we consider the set of closed geodesics that self-intersect at least k times and investigate those of minimal length. The main result is that, if the surface has at least one cusp, their self-intersection numbers are exactly k for large enough k.

PDF Access Denied

We have not been able to recognize your IP address 44.212.99.248 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
closed geodesics, hyperbolic surfaces
Mathematical Subject Classification
Primary: 32G15
Secondary: 30F10, 30F45, 53C22
Milestones
Received: 31 August 2020
Revised: 25 April 2022
Accepted: 13 May 2022
Published: 1 August 2022
Authors
Hanh Vo
Department of Mathematics
University of Luxembourg
Esch-sur-Alzette
Luxembourg