A Curvature Flow Unifying Symplectic Curvature Flow And Pluriclosed Flow

Abstract

Streets and Tian introduced pluriclosed flow and symplectic curvature flow in recent years. Here we construct a curvature flow to unify these two flows. We show the short time existence of our flow and exhibit an obstruction to long time existence.Comment: Corrected minor errors and updated references. Accepted in Pacific Journal of Mathematic