Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:462

Article

Castro, Ildefonso¹  Lerma, Ana M.²  Miguel, Vicente³ 

[1] Univ Jaen, Dept Matemat, Jaen 23071, Spain

[2] Univ Jaen, Dept Didact Ciencias, Jaen 23071, Spain

[3] Univ Valencia, Dept Geometria & Topol, E-46100 Valencia, Spain

关键词: Mean curvature flow;    Lagrangian surfaces;    Clifford torus;   

DOI  :  10.1016/j.jmaa.2018.02.033

来源: Elsevier

【 摘 要 】

We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane C-2. In particular, we answer the Question 4.7 addressed in [10] by A. Neves about finding out a condition on a starting Lagrangian torus in C-2 such that the corresponding mean curvature flow becomes extinct at finite time and converges after resealing to the Clifford torus. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free