- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Almost rigidity of convex hypersurfaces via the extinction time of mean curvature flow Bull. Korean Math. Soc. 2021 Vol. 58, No. 4, 877-884 https://doi.org/10.4134/BKMS.b200594Published online June 3, 2021Printed July 31, 2021 Xian-Tao Huang Sun Yat-sen University Abstract : We prove that if a compact convex hypersurface of $\mathbb{R}^{n+1}$ has almost maximal extinction time when it is evolved by the mean curvature flow, then it must be nearly round in the $C^{0}$-norm. Keywords : Convex hypersurface, mean curvature flow, almost rigidity MSC numbers : 53C44 Supported by : The author is partially supported by NSFC (Nos. 11701580 and 11521101) and Guangdong Natural Science Foundation 2019A1515011804. Downloads: Full-text PDF   Full-text HTML