On the gluing construction of translating solitons to Lagrangian mean curvature flow

被引:0
|
作者
Wei-Bo Su
机构
[1] Academia Sinica,
关键词
53C21; 53C38; 53E10;
D O I
暂无
中图分类号
学科分类号
摘要
We construct Lagrangian translating solitons by desingularizing the intersection points between Lagrangian Grim Reaper cylinders with the same phase using special Lagrangian Lawlor necks. The resulting Lagrangian translating solitons could have arbitrarily many ends and non-contractible loops.
引用
收藏
相关论文
共 50 条
  • [11] Translating Solitons for the Inverse Mean Curvature Flow
    Kim, Daehwan
    Pyo, Juncheol
    RESULTS IN MATHEMATICS, 2019, 74 (01)
  • [12] On the topology of translating solitons of the mean curvature flow
    Martin, Francisco
    Savas-Halilaj, Andreas
    Smoczyk, Knut
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (03) : 2853 - 2882
  • [13] Properness of translating solitons for the mean curvature flow
    Kim, Daehwan
    Pyo, Juncheol
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (04)
  • [14] TRANSLATING SOLUTIONS TO LAGRANGIAN MEAN CURVATURE FLOW
    Neves, Andre
    Tian, Gang
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 365 (11) : 5655 - 5680
  • [15] Translating Solitons for the Inverse Mean Curvature Flow
    Daehwan Kim
    Juncheol Pyo
    Results in Mathematics, 2019, 74
  • [16] SOME EXAMPLES OF SELF-SEMILAR SOLUTIONS AND TRANSLATING SOLITONS FOR LAGRANGIAN MEAN CURVATURE FLOW
    Nakahara, Hiroshi
    TOHOKU MATHEMATICAL JOURNAL, 2013, 65 (03) : 411 - 425
  • [17] GAUSS MAPS OF TRANSLATING SOLITONS OF MEAN CURVATURE FLOW
    Bao, Chao
    Shi, Yuguang
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (12) : 4333 - 4339
  • [18] Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds
    Guanghan Li
    Daping Tian
    Chuanxi Wu
    Mathematical Physics, Analysis and Geometry, 2011, 14 : 83 - 99
  • [19] Translating Solitons of Mean Curvature Flow of Noncompact Submanifolds
    Li, Guanghan
    Tian, Daping
    Wu, Chuanxi
    MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2011, 14 (01) : 83 - 99
  • [20] Lagrangian Homothetic Solitons for the Inverse Mean Curvature Flow
    Ildefonso Castro
    Ana M. Lerma
    Results in Mathematics, 2017, 71 : 1109 - 1125