# The Chern-Kaehler flow

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Let $(M,\omega)$ be a Kaehler manifold, the Chern-Kaehler flow is defined by:

$$\frac{\partial \omega}{\partial t}= tr(R(\nabla^C))$$

where $R(\nabla^C)$ is the curvature of the Chern connection $\nabla^C$.

Have we solutions for short time of the Chern-Kaehler flow?

asked Mar 29

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