Asymptotic behavior of spatially inhomogeneous mean curvature flows
β Scribed by Bendong Lou
- Publisher
- Japan Society for Industrial and Applied Mathematics
- Year
- 2004
- Tongue
- English
- Weight
- 570 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0916-7005
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π SIMILAR VOLUMES
We prove in this paper that Hopf flows in S 3 are absolute minima of the total bending functional B introduced by G. Wiegmink. They are also absolute minima of the energy functional E introduced by C.M. Wood, once E differs from B by a constant. In fact, we introduce a functional D for a flow on a c
## 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 areaβdecreasing map between unit spheres (of possibly differe