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arXiv · 2502.02325

Leafwise positive scalar curvature and the Rosenberg index

Guangxiang Su·Zelin Yi
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Abstract

Let $M$ be a closed spin manifold, in this paper, we show that if there is a foliation $(M,F)$ and a Riemannian metric on $M$ that has leafwise positive scalar curvature then the Rosenberg index of $M$ is zero.

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Guangxiang Su, Zelin Yi. 2025-02-04. Leafwise positive scalar curvature and the Rosenberg index. https://arxiv.org/abs/2502.02325

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