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.
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页码：283 / 296
页数：13
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