Chen, Jingyi et Tian, Gang, Moving Symplectic Curves in Kähler-Einstein Surfaces, Acta mathematica Sinica. English series (Print) , 16(4), 2000, pp. 541-548
We derive a parabolic equation for the Kähler angle of a real surface evolving under the mean curvature flow in a Kähler-Einstein surface and show that a symplectic curve remains symplectic with the flow.