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arXiv · 2208.12240

Rigidity on non-negative intermediate curvature

Jianchun Chu·Kwok-Kun Kwong·Man-Chun Lee
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Abstract

In a recent work of Brendle-Hirsch-Johne, a notion of intermediate curvature was introduced to extend the classical non-existence theorem of positive scalar curvature on torus to product manifolds. In this work, we study the rigidity when the intermediate curvature is only non-negative when the ambient dimension is at most $5$.

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Jianchun Chu, Kwok-Kun Kwong, Man-Chun Lee. 2022-08-25. Rigidity on non-negative intermediate curvature. https://arxiv.org/abs/2208.12240

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