Generalized Symplectic Mean Curvature Flows inAlmost Einstein Surfaces?

Citation:

Jiayu LI,Liuqing YANG.Generalized Symplectic Mean Curvature Flows inAlmost Einstein Surfaces?[J].Chinese Annals of Mathematics B,2014,35(1):33~50
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Authors:

Jiayu LI; Liuqing YANG;

Foundation:

National Natural Science Foundation of China (Nos. 11071236, 11131007,10421101).
Abstract: The authors mainly study the generalized symplectic mean curvature flow in an almost Einstein surface, and prove that this flow has no type-I singularity. In the graph case, the global existence and convergence of the flow at infinity to a minimal surface with metric of the ambient space conformal to the original one are also proved.

Keywords:

Almost Einstein, Symplectic mean curvature flow, Singularity, Minimalsurface

Classification:

53C44, 53C21
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