An Example of a Mean-Convex Mean Curvature Flow Developing Infinitely Many Singular Epochs

被引：3
|
作者：
Miura, Tatsuya [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2016年 / 26卷 / 04期
关键词：
Mean curvature flow; Singularity; Smoothing effect; Mean-convex; SETS;
D O I：
10.1007/s12220-015-9659-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give an example of a compact mean-convex hypersurface with a single singular point moved by mean curvature having a sequence of singular epochs (times) converging to zero.
引用
收藏
页码：3019 / 3026
页数：8
相关论文
共 50 条
  • [31] Mean curvature flow with convex Gauss image
    Yuanlong Xin
    Chinese Annals of Mathematics, Series B, 2008, 29 : 121 - 134
  • [32] Convexity estimates for mean curvature flow and singularities of mean convex surfaces
    Huisken, G
    Sinestrari, C
    ACTA MATHEMATICA, 1999, 183 (01) : 45 - 70
  • [33] CONVEX ANCIENT SOLUTIONS OF THE MEAN CURVATURE FLOW
    Huisken, Gerhard
    Sinestrari, Carlo
    JOURNAL OF DIFFERENTIAL GEOMETRY, 2015, 101 (02) : 267 - 287
  • [34] Crystalline Mean Curvature Flow of Convex Sets
    Giovanni Bellettini
    Vicent Caselles
    Antonin Chambolle
    Matteo Novaga
    Archive for Rational Mechanics and Analysis, 2006, 179 : 109 - 152
  • [35] Implicit time discretization for the mean curvature flow of mean convex sets
    De Philippis, Guido
    Laux, Tim
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2020, 21 : 911 - 930
  • [36] A CHARACTERIZATION OF THE SINGULAR TIME OF THE MEAN CURVATURE FLOW
    Cooper, Andrew A.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (08) : 2933 - 2942
  • [37] A note on singular time of mean curvature flow
    Chen, Jingyi
    He, Weiyong
    MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (04) : 921 - 931
  • [38] A note on singular time of mean curvature flow
    Jingyi Chen
    Weiyong He
    Mathematische Zeitschrift, 2010, 266 : 921 - 931
  • [39] Mean Curvature Flow of Singular Riemannian Foliations
    Alexandrino, Marcos M.
    Radeschi, Marco
    JOURNAL OF GEOMETRIC ANALYSIS, 2016, 26 (03) : 2204 - 2220
  • [40] Mean Curvature Flow of Singular Riemannian Foliations
    Marcos M. Alexandrino
    Marco Radeschi
    The Journal of Geometric Analysis, 2016, 26 : 2204 - 2220
12345