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arXiv · 2312.05816

Calabi flow with bounded $L^p$ scalar curvature

Haozhao Li·Linwei Zhang·Kai Zheng
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Abstract

In this paper, we show that the Calabi flow can be extended as long as the $L^p$ scalar curvature is uniformly bounded for some $p>n$, and on a compact extremal Kähler manifold the Calabi flow with uniformly bounded $L^p(p>n)$ scalar curvature exists for all time and converges exponentially fast to an extremal Kähler metric.

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Haozhao Li, Linwei Zhang, Kai Zheng. 2024-09-25. Calabi flow with bounded $L^p$ scalar curvature. https://arxiv.org/abs/2312.05816

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