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Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces

Generalized Symplectic Mean Curvature Flows in Almost Einstein Surfaces
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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. 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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第1期33-50,共18页 数学年刊(B辑英文版)
基金 Project supported by the National Natural Science Foundation of China(Nos.11071236,11131007,10421101)
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 Almost Einstein, Symplectic mean curvature flow, Singularity, Minimalsurface
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  • 1CHEN Jing Yi Department of Mathematics.The University of British Columbia.Vancouver.B.C..Canada V6T 1Z2 E-mail:jychen@math.ubc.caLI Jia Yu Institute of Mathematics.Academy of Mathematics and System Sciences.Chinese Academy of Sciences.Beijing 100080.P.R.China Department of Mathematics.Fudan University.Shanghai 200433.P.R.China E-mail:lijia@math03.math.ac.cnTIAN Gang Department of Mathematics,MIT.Cambridge.MA 02139.U.S.A.E-mail:tian@math,mit.edu.Two-Dimensional Graphs Moving by Mean Curvature Flow[J].Acta Mathematica Sinica,English Series,2002,18(2):209-224. 被引量:7

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