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Translating solitons to symplectic and Lagrangian mean curvature flows, preprint

By Xiaoli Han and 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 Kähler angle α of a symplectic translating soliton with max |A | = 1 satisfies that sup |α |> π 4 where T is the direction in which the surface translates. |T

Year: 2013
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