English

New curvature characterizations for spherical space forms and complex projective spaces

Differential Geometry 2023-12-27 v1

Abstract

In this paper, we introduce a new positivity notion for curvature of Riemannian manifolds and obtain characterizations for spherical space forms and the complex projective space CPn\mathbb{C}\mathbb{P}^n.

Keywords

Cite

@article{arxiv.2312.16068,
  title  = {New curvature characterizations for spherical space forms and complex projective spaces},
  author = {Xiaokui Yang and Liangdi Zhang},
  journal= {arXiv preprint arXiv:2312.16068},
  year   = {2023}
}
R2 v1 2026-06-28T14:02:11.265Z