Translating solitons to symplectic and Lagrangian mean curvature flows

Xiaoli Han; Jiayu Li

Translating solitons to symplectic and Lagrangian mean curvature flows

Differential Geometry 2008-02-08 v2

Authors: Xiaoli Han , Jiayu Li

Abstract

In this paper, we construct finite blow-up examples for symplectic mean curvature flows and we study properties of symplectic translating solitons. We prove that, the K\"ahler angle $\alpha$ of a symplectic translating soliton with $\max |A|=1$ satisfies that $\sup |\alpha|>\frac{\pi}{4}\frac{|T|}{|T|+1}$ where $T$ is the direction in which the surface transltes.

Keywords

symplectic mean curvature flow Lagrangian mean curvature flow translating solitons finite blow-up Kähler angle second fundamental form

Cite

@article{arxiv.0711.4435,
  title  = {Translating solitons to symplectic and Lagrangian mean curvature flows},
  author = {Xiaoli Han and Jiayu Li},
  journal= {arXiv preprint arXiv:0711.4435},
  year   = {2008}
}

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