Volume 6, issue 1 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Regular homotopy and total curvature I: circle immersions into surfaces

Tobias Ekholm

Algebraic & Geometric Topology 6 (2006) 459–492

arXiv: math.GT/0310266

Abstract

We consider properties of the total absolute geodesic curvature functional on circle immersions into a Riemann surface. In particular, we study its behavior under regular homotopies, its infima in regular homotopy classes, and the homotopy types of spaces of its local minima.

Keywords
circle immersion, geodesic curvature, regular curve, regular homotopy, Riemann surface, total curvature
Mathematical Subject Classification 2000
Primary: 53C42
Secondary: 53A04, 57R42
References
Forward citations
Publication
Received: 8 February 2005
Revised: 22 February 2006
Accepted: 12 March 2006
Published: 23 March 2006
Authors
Tobias Ekholm
Department of mathematics
USC
Los Angeles CA 90803
USA