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Rigidity and mean curvature flow via harmonic Gauss maps

✍ Scribed by Yuanlong Xin


Publisher
Higher Education Press and Springer
Year
2006
Tongue
English
Weight
199 KB
Volume
1
Category
Article
ISSN
1673-3452

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Mean curvature flows and isotopy of maps
✍ Mao-Pei Tsui; Mu-Tao Wang πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 149 KB

## 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 differe