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arXiv · 0904.0978

Local solution and extension to the Calabi flow

Weiyong He
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Abstract

We consider the local solution to the Calabi flow for C^αinitial metric. We also prove that the Calabi flow on compact Kaehler surfaces can be extended once the metrics along the flow are bounded in L^\infty sense. This can be viewed as obtaining higher order derivative estimates from second order derivatives for a fourth order nonlinear equation.

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Weiyong He. 2009-04-19. Local solution and extension to the Calabi flow. https://arxiv.org/abs/0904.0978

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