Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4664415 | Acta Mathematica Scientia | 2010 | 12 Pages |
Abstract
Under the hypothesis of mean curvature flows of hypersurfaces, we prove that the limit of the smooth rescaling of the singularity is weakly convex. It is a generalization of the result due to G. Huisken and C. Sinestrari in [5]. These a-priori bounds are satisfied for mean convex hypersurfaces in locally symmetric Riemannian manifolds with nonnegative sectional curvature.
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