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Generalized Symplectic Mean Curvature Flows inAlmost Einstein Surfaces? |
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Citation: |
Jiayu LI,Liuqing YANG.Generalized Symplectic Mean Curvature Flows inAlmost Einstein Surfaces?[J].Chinese Annals of Mathematics B,2014,35(1):33~50 |
Page view: 1893
Net amount: 1372 |
Authors: |
Jiayu LI; Liuqing YANG; |
Foundation: |
National Natural Science Foundation of China (Nos. 11071236, 11131007,10421101). |
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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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