The hyperbolic mean curvature flow
β Scribed by Philippe G. LeFloch; Knut Smoczyk
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 239 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0021-7824
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π SIMILAR VOLUMES
## Abstract We study the flow __M~t~__ of a smooth, strictly convex hypersurface by its mean curvature in β^__n__ + 1^. The surface remains smooth and convex, shrinking monotonically until it disappears at a critical time __T__ and point __x__^\*^ (which is due to Huisken). This is equivalent to sa
## 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