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arXiv · 1508.03417

An existence time estimate for K\"ahler-Ricci flow

Albert Chau·Ka Fai Li·Luen-Fai Tam
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Abstract

Fix a complete noncompact \K manifold $(M^n,h_0)$ with bounded curvature. Let $g(t)$ be a bounded curvature solution to the \KR flow starting from some $g_0$ uniformly equivalent to $h_0$. We estimate the existence time of $g(t)$ together with $C^0$ bounds and curvature bounds, where the estimates depend only on $h_0$ and the $C^0$ distance between $g_0$ and $h_0$. We also generalize these results to cases when $g_0$ may have unbounded curvature.

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Albert Chau, Ka Fai Li, Luen-Fai Tam. 2015-08-14. An existence time estimate for K\"ahler-Ricci flow. https://arxiv.org/abs/1508.03417

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