Manifolds with harmonic Weyl tensor and nonnegative curvature operator of the second kind

DOI10.1016/j.geomphys.2023.105040MaRDI QIDQ6141363

Zhi-Lin Dai, Dengyun Yang, Hai-Ping Fu

Publication date: 4 January 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

locally symmetric spacesharmonic Weyl tensornonnegative curvature operator of the second kind

Mathematics Subject Classification ID

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

Cites Work

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• The classification of complete locally conformally flat manifolds of nonnegative Ricci curvature
• On closed manifolds with harmonic Weyl curvature
• On compact Riemannian manifolds with harmonic Weyl curvature
• A theorem on Riemannian manifolds of positive curvature operator
• Curvature operators: pinching estimates and geometric examples
• Conformally flat manifolds with nonnegative Ricci curvature
• 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

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