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The Second Type Singularities of Symplectic and Lagrangian Mean Curvature Flows 被引量:2

The Second Type Singularities of Symplectic and Lagrangian Mean Curvature Flows
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摘要 This paper mainly deals with the type II singularities of the mean curvature flow from a symplectic surface or from an almost calibrated Lagrangian surface in a K¨ahler surface.The relation between the maximum of the Kahler angle and the maximum of |H|2 on the limit flow is studied.The authors also show the nonexistence of type II blow-up flow of a symplectic mean curvature flow which is normal flat or of an almost calibrated Lagrangian mean curvature flow which is flat.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2011年第2期223-240,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. 10901088, 11001268)
关键词 Symplectic surface Lagrangian surface Mean curvature flow 平均曲率流 拉格朗日 Kahler角 作者 极限流量 表面 最大值 校准
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参考文献23

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同被引文献1

  • 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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