Singularities of symplectic and Lagrangian mean curvature flows

被引：0

作者：

Xiaoli Han

Jiayu Li

机构：

[1] Tsinghua University,Department of Mathematical Sciences

[2] The Abdus Salam ICTP,Mathematics Group

[3] Chinese Academy of Sciences,Academy of Mathematics and System Sciences

来源：

Frontiers of Mathematics in China | 2009年 / 4卷

关键词：

Symplectic surface; holomorphic curve; Lagrangian surface; minimal Lagrangian surface; mean curvature flow; 53C44; 35K55; 32Q20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the singularities of the mean curvature flow from a symplectic surface or from a Lagrangian surface in a Käahler-Einstein surface. We prove that the blow-up flow Σs∞ at a singular point (X0, T0) of a symplectic mean curvature flow Σt or of a Lagrangian mean curvature flow Σt is a nontrivial minimal surface in ℝ4, if Σ−∞∞ is connected.

引用

页码：283 / 296

页数：13

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