The Chern-Kaehler flow II

Question

Let $(M,\omega)$ be a Kaehler manifold with Kaehler form $\omega$ and curvature of the Chern connection $R_{\nabla}$, then I define a Chern-Kaehler flow II :

$$\frac{\partial \omega}{\partial t}= d(\sum_i (d^* R_{\nabla} (e_i) e_i)^*)$$

Can we have solutions for the Chern-Kaehler flow II for short time?

Comments

No.