Generalized quasi-Einstein manifolds with harmonic Weyl tensor

DOI10.1007/s00209-011-0888-5zbMath1246.53040arXiv1012.5405OpenAlexW3102275142MaRDI QIDQ444163

Giovanni Catino

Publication date: 13 August 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5405

zbMATH Keywords

Ricci solitonwarped productquasi-Einstein manifoldsharmonic Weyl tensorradial Weyl curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

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Cites Work

• On the classification of warped product Einstein metrics
• The evolution of the Weyl tensor under the Ricci flow
• Rigidity of quasi-Einstein metrics
• Über sphärische Blätterungen und die Vollständigkeit ihrer Blätter
• Einstein manifolds
• Ricci almost solitons
• Doubly warped products with harmonic Weyl conformal curvature tensor
• Locally conformally flat quasi-Einstein manifolds
• Riemannian geometry.

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