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arXiv · 2111.05079

Scalar curvature lower bound under integral convergence

Yiqi Huang·Man-Chun Lee
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Abstract

In this work, we consider sequences of $C^2$ metrics which converge to a $C^2$ metric in $C^0$ sense. We show that if the scalar curvature of the sequence is almost non-negative in the integral sense, then the limiting metric has scalar curvature lower bound in point-wise sense.

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Yiqi Huang, Man-Chun Lee. 2021-11-09. Scalar curvature lower bound under integral convergence. https://arxiv.org/abs/2111.05079

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