Compact gradient shrinking \(\rho\)-Einstein solitons with pinching conditions

DOI10.1016/j.geomphys.2024.105216MaRDI QIDQ6542422

Xiaomin Chen

Publication date: 22 May 2024

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

zbMATH Keywords

Yamabe invariantSchouten tensorgradient \(\rho\)-Einstein solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Cites Work

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• Rigidity theorem for integral pinched shrinking Ricci solitons
• Einstein manifolds with finite \(L^p\)-norm of the Weyl curvature
• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• On compact Riemannian manifolds with harmonic Weyl curvature
• Schouten curvature functions on locally conformally flat Riemannian manifolds
• Rigidity theorem for compact Bach-flat manifolds with positive constant \(\sigma_2\)
• Rigidity of gradient Einstein shrinkers
• Some results on Ricci-Bourguignon solitons and almost solitons

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