Quasi-Einstein manifolds admitting conformal vector fields

DOI10.4064/cm8903-6-2023OpenAlexW4387384499MaRDI QIDQ6146779

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Publication date: 31 January 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8903-6-2023

zbMATH Keywords

scalar curvatureconformal vector fieldsgradient Ricci solitonsquasi-Einstein manifolds

Mathematics Subject Classification ID

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

Cites Work

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• On the classification of warped product Einstein metrics
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Rigidity of quasi-Einstein metrics
• On a differential equation characterizing a Riemannian structure of a manifold
• Local existence of Ricci solitons
• Some uniqueness results for Ricci solitons
• Conformal diffeomorphisms of gradient Ricci solitons and generalized quasi-Einstein manifolds
• Gradient Ricci solitons with a conformal vector field
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• Recent Progress on Ricci Solitons

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