Rigidity on non-negative intermediate curvature

2022/08/25 by Chu, Jianchun, Kwong, Kwok-Kun, Lee, Man-Chun · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.12240

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.

Cited by

• Scalar curvature rigidity for products of spheres and tori
• Nonexistence of the metric with positive intermediate curvatures on manifolds with boundary
• Comparison Theorems and the Intermediate Ricci Curvature Assumption

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