Vol. 277, No. 2, 2015

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A curvature flow unifying symplectic curvature flow and pluriclosed flow

Song Dai

Vol. 277 (2015), No. 2, 287–311
Abstract

Streets and Tian (2010, 2014) introduced pluriclosed flow and symplectic curvature flow. 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.

Keywords
symplectic curvature flow, pluriclosed flow
Mathematical Subject Classification 2010
Primary: 53C15, 53C44, 53C56, 53D05, 53D15
Milestones
Received: 4 July 2014
Revised: 25 September 2014
Accepted: 30 December 2014
Published: 15 September 2015
Authors
Song Dai
School of Mathematical Science
Peking University
No. 5 Yiheyuan Road
Haidian District
Beijing, 100871
China