Leafwise positive scalar curvature and the Rosenberg index

2025/02/04 by Su, Guangxiang, Yi, Zelin
#Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.2502.02325

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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