Singularities of mean curvature flow

被引：3
作者：
Xin, Yuanlong [1 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2021年 / 64卷 / 07期
关键词：
mean curvature flow; self-shrinker; translating soliton; TRANSLATING SOLITONS; SELF-SHRINKERS; RIGIDITY THEOREMS; SURFACES; CODIMENSION; MAPS;
D O I：
10.1007/s11425-020-1840-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Mean curvature flow and its singularities have been paid attention extensively in recent years. The present article reviews briefly their certain aspects in the author's interests.
引用
收藏
页码：1349 / 1356
页数：8
相关论文
共 49 条
  • [1] ABRESCH U, 1986, J DIFFER GEOM, V23, P175
  • [2] Andrews B, 2010, J DIFFER GEOM, V85, P357
  • [3] Angenent S.B., 1992, PROGR NONLINEAR DIFF, P21, DOI 10.1007/978-1-4612-0393-3_2
  • [4] ASYMPTOTIC SHAPE OF CUSP SINGULARITIES IN CURVE SHORTENING
    ANGENENT, SB
    VELAZQUEZ, JJL
    [J]. DUKE MATHEMATICAL JOURNAL, 1995, 77 (01) : 71 - 110
  • [5] Angenent SB, 1997, J REINE ANGEW MATH, V482, P15
  • [6] GAUSS MAPS OF TRANSLATING SOLITONS OF MEAN CURVATURE FLOW
    Bao, Chao
    Shi, Yuguang
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (12) : 4333 - 4339
  • [7] A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension
    Cao, Huai-Dong
    Li, Haizhong
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2013, 46 (3-4) : 879 - 889
  • [8] Rigidity of entire self-shrinking solutions to curvature flows
    Chau, Albert
    Chen, Jingyi
    Yuan, Yu
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2012, 664 : 229 - 239
  • [9] 2-Dimensional complete self-shrinkers in R3
    Cheng, Qing-Ming
    Ogata, Shiho
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2016, 284 (1-2) : 537 - 542
  • [10] A GAP THEOREM OF SELF-SHRINKERS
    Cheng, Qing-Ming
    Wei, Guoxin
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (07) : 4895 - 4915
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