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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. These apriori bounds are satisfied for mean convex hypersurfaces in locally symmetric Riemannian manifolds with nonnegative sectional curvature. 相似文献
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Hamilton的Ricci流方法被广泛地应用于研究流形的几何和拓朴.利用Ricci流的方法,证明了对于任意一个具有全测地边界的n维紧致流形(n≥4)满足一定的拼挤条件可以形变为具有全测地边界的空间形式。 相似文献
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