Translating solitons to symplectic and Lagrangian mean curvature flows

Details Translating solitons to symplectic and Lagrangian mean curvature flows Translating solitons to symplectic and Lagrangian mean curvature flows

2007-11-28

arxiv.org/abs/0711.4435v2

Mathematics

Differential Geometry

Scientific paper

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.

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