Killing fields on compact \(m\)-quasi-Einstein manifolds

DOI10.1090/PROC/17063MaRDI QIDQ6668394

Eric Cochran

Publication date: 22 January 2025

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

differential geometryKilling fieldsmathematical relativitynear horizon geometries\(m\)-quasi-Einstein manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Cites Work

• Triviality of compact \(m\)-quasi-Einstein manifolds
• Rigidity of quasi-Einstein metrics
• Non-trivial \(m\)-quasi-Einstein metrics on simple Lie groups
• Gradient ambient obstruction solitons on homogeneous manifolds
• Locally homogeneous non-gradient quasi-Einstein 3-manifolds
• Static near-horizon geometries and rigidity of quasi-Einstein manifolds
• Uniqueness of quasi-Einstein metrics on 3-dimensional homogeneous manifolds
• Rigidity of compact static near-horizon geometries with negative cosmological constant
• On non-existence of static vacuum black holes with degenerate components of the event horizon
• Rigidity of quasi-Einstein metrics: the incompressible case

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