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.

Corrected minor errors and updated references. Accepted in Pacific Journal of Mathematics

References in corpus (4)

• Generalized complex geometry
• Generalized Kahler Geometry and the Pluriclosed Flow
• Symplectic curvature flow
• Homogeneous and locally homogeneous solutions to symplectic curvature flow

Cited by in corpus (2)

• Special Hermitian metrics on compact solvmanifolds
• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds