数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1053-1064.doi: 10.1016/S0252-9602(10)60102-6
陈旭忠, 沈一兵**
CHEN Xu-Zhong, SHEN Yi-Bing**
摘要:
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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