Translating solitons to symplectic and Lagrangian mean curvature flows

Xiaoli Han; Jiayu Li

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arXiv · 0711.4435

Translating solitons to symplectic and Lagrangian mean curvature flows

Xiaoli Han·Jiayu Li

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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 Kähler angle $α$ of a symplectic translating soliton with $\max |A|=1$ satisfies that $\sup |α|>\fracπ{4}\frac{|T|}{|T|+1}$ where $T$ is the direction in which the surface transltes.

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Xiaoli Han, Jiayu Li. 2008-02-08. Translating solitons to symplectic and Lagrangian mean curvature flows. https://arxiv.org/abs/0711.4435

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