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 fl...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.展开更多
基金Project supported by the National Natural Science Foundation of China(Nos.11071236,11131007,10421101)
文摘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.