A note on Kaehler-Ricci flow

Details A note on Kaehler-Ricci flow A note on Kaehler-Ricci flow

2008-10-03

arxiv.org/abs/0810.0574v1

Mathematics

Differential Geometry

Scientific paper

Let $g(t)$ with $t\in [0,T)$ be a complete solution to the Kaehler-Ricci flow: $\frac{d}{dt}g_{i\bar j}=-R_{i\bar j}$ where $T$ may be $\infty$. In this article, we show that the curvatures of $g(t)$ is uniformly bounded if the solution $g(t)$ is uniformly equivalet. This result is stronger than the main result in \v{S}e\v{s}um \cite{sesum} within the category of K\"ahler-Ricci flow.

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