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On the evolution of a Hermitian metric by its Chern-Ricci form

On the evolution of a Hermitian metric by its Chern-Ricci form

We consider the evolution of a Hermitian metric on a compact complex manifold by its Chern-Ricci form. This is an evolution equation first studied by M. Gill, and coincides with the Kahler-Ricci flow if the initial metric is Kahler. We find the maximal existence time for the flow in terms …