New curvature characterizations for spherical space forms and complex projective spaces

Yang, Xiaokui; Zhang, Liangdi

doi:10.1090/tran/9278

New curvature characterizations for spherical space forms and complex projective spaces
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by Xiaokui Yang and Liangdi Zhang;

Trans. Amer. Math. Soc. 378 (2025), 679-694

DOI: https://doi.org/10.1090/tran/9278

Published electronically: October 23, 2024

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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 $\mathbb {C}\mathbb {P}^n$.

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