English

Rigidity on non-negative intermediate curvature

Differential Geometry 2022-08-26 v1

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 55.

Keywords

Cite

@article{arxiv.2208.12240,
  title  = {Rigidity on non-negative intermediate curvature},
  author = {Jianchun Chu and Kwok-Kun Kwong and Man-Chun Lee},
  journal= {arXiv preprint arXiv:2208.12240},
  year   = {2022}
}

Comments

18 pages

R2 v1 2026-06-25T01:58:57.885Z