A note on closed quasi-Einstein manifolds

DOI10.1007/S13324-024-00967-2MaRDI QIDQ6612970

Wagner Oliveira Costa-Filho

Publication date: 1 October 2024

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

scalar curvatureKilling vector fieldsclosed manifolds\(m\)-quasi-Einstein manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Integral geometry (53C65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Title not available (Why is that?)
• Triviality of compact \(m\)-quasi-Einstein manifolds
• \(m\)-quasi-Einstein metrics satisfying certain conditions on the potential vector field
• Static near-horizon geometries and rigidity of quasi-Einstein manifolds
• A note on almost Ricci solitons
• Rigidity of compact static near-horizon geometries with negative cosmological constant
• INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
• SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS
• Generalized quasi-Einstein metrics and applications on generalized Robertson–Walker spacetimes
• Noncompact quasi‐Einstein manifolds conformal to a Euclidean space
• About an integral inequality and rigidity of \(m\)-quasi-Einstein manifolds
• Some characterizations of compact Einstein-type manifolds
• Certain classification results on \(m\)-quasi Einstein manifolds
• Rigidity of quasi-Einstein metrics: the incompressible case

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