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Mean curvature flows and isotopy of maps between spheres

✍ Scribed by Mao-Pei Tsui; Mu-Tao Wang

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
149 KB
Volume
57
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

Let f be a smooth map between unit spheres of possibly different dimensions. We prove the global existence and convergence of the mean curvature flow of the graph of f under various conditions. A corollary is that any area‐decreasing map between unit spheres (of possibly different dimensions) is isotopic to a constant map. Β© 2004 Wiley Periodicals, Inc.

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