New curvature characterizations for spherical space forms and complex projective spaces

2023/12/26 by Xiaokui Yang, Yang, Xiaokui, Liangdi Zhang +1 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2312.16068

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.

Cited by

• New rigidity theorem of Einstein manifolds and curvature operator of the second kind
• Weitzenböck-Bochner-Kodaira formulas with quadratic curvature terms

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