| Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces |
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| 作者姓名： | Jiayu LI Liuqing YANG |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Nos. 11071236, 11131007 10421101）. |
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| 摘 要： | 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.
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| 关 键 词： | 平均曲率流 爱因斯坦 广义 整体存在性 收敛性 无穷远 表面 证明 |
Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces |
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| Jiayu LI,Liuqing YANG.Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces[J].Chinese Annals of Mathematics,Series B,2014,35(1):33-50. |
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| Authors: | Jiayu LI and Liuqing YANG |
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| Institution: | 1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China
2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
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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. |
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| Keywords: | Almost Einstein Symplectic mean curvature flow Singularity Minimalsurface |
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