Generalized symplectic mean curvature flows in almost Einstein surfaces

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 / Minimal surface

References

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