Leafwise positive scalar curvature and the Rosenberg index
Differential Geometry
2025-02-05 v1 K-Theory and Homology
Abstract
Let be a closed spin manifold, in this paper, we show that if there is a foliation and a Riemannian metric on that has leafwise positive scalar curvature then the Rosenberg index of is zero.
Cite
@article{arxiv.2502.02325,
title = {Leafwise positive scalar curvature and the Rosenberg index},
author = {Guangxiang Su and Zelin Yi},
journal= {arXiv preprint arXiv:2502.02325},
year = {2025}
}