Mean curvature flows and isotopy of maps between spheres
Journal
Communications on Pure and Applied Mathematics
Journal Volume
57
Journal Issue
8
Pages
1110-1126
Date Issued
2004
Author(s)
Wang, M.-T.
Abstract
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. © 2004 Wiley Periodicals, Inc.
Type
journal article