Translating solitons to symplectic and Lagrangian mean curvature flows

2007/11/28 by Han, Xiaoli, Li, Jiayu
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0711.4435

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|>\fracπ4(|T|)/(|T|+1) where T is the direction in which the surface transltes.

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• The translating soliton of mean curvature flow
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• On the topology of translating solitons of the mean curvature flow
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