Einstein manifolds and curvature operator of the second kind

DOI10.1007/s00526-023-02650-zarXiv2311.18235MaRDI QIDQ6153450

Zhi-Lin Dai, Hai-Ping Fu

Publication date: 14 February 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2311.18235

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Cites Work

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• Manifolds with \(4\frac{1}{2}\)-positive curvature operator of the second kind
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• New curvature conditions for the Bochner technique
• Curvature operators: pinching estimates and geometric examples
• Linear independence of renormalization counterterms in curved space-times of arbitrary dimensionality
• Curvature of the second kind and a conjecture of Nishikawa
• Holonomy restrictions from the curvature operator of the second kind
• Betti numbers and the curvature operator of the second kind
• Manifolds with nonnegative curvature operator of the second kind

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