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arXiv · 0810.0574

A note on Kaehler-Ricci flow

Chengjie Yu
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Abstract

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 Šešum \cite{sesum} within the category of Kähler-Ricci flow.

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Chengjie Yu. 2008-10-03. A note on Kaehler-Ricci flow. https://arxiv.org/abs/0810.0574

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