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arXiv · 2103.07003

Conformal tori with almost non-negative scalar curvature

Jianchun Chu·Man-Chun Lee
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Abstract

In this work, we consider sequence of metrics with almost non-negative scalar curvature on torus. We show that if the sequence is uniformly conformal to another sequence of metrics with uniformly controlled geometry, then it converges to a flat metric in the volume preserving intrinsic flat sense, $L^{p}$ sense and the measured Gromov-Hausdorff sense.

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Jianchun Chu, Man-Chun Lee. 2021-03-11. Conformal tori with almost non-negative scalar curvature. https://arxiv.org/abs/2103.07003

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