Volume 6, issue 1 (2006)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Other MSP Journals
Regular homotopy and total curvature II: sphere immersions into $3$–space

Tobias Ekholm

Algebraic & Geometric Topology 6 (2006) 493–512
 arXiv: math.GT/0310266
Abstract

We consider properties of the total curvature functional on the space of 2–sphere immersions into 3–space. We show that the infimum over all sphere eversions of the maximum of the total curvature during an eversion is at most $8\pi$ and we establish a non-injectivity result for local minima.

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/agt

We have not been able to recognize your IP address 34.235.143.190 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

or by using our contact form.

Keywords
immersion, regular homotopy, relatively isotopy tight, sphere eversion, total curvature
Mathematical Subject Classification 2000
Primary: 53C42
Secondary: 53A04, 57R42