Ricci solitons and Ricci Bi-Conformal vector fields on the Lie GROUP \(\mathbb{H}^2 \times \mathbb{R} \)

DOI10.1016/S0034-4877(24)00028-4MaRDI QIDQ6551697

Mehdi Jafari, Shahroud Azami

Publication date: 7 June 2024

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Lie groupRiemannian metricsconformal vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Geometry of conformal vector fields
• From the Eisenhart problem to Ricci solitons in \(f\)-Kenmotsu manifolds
• On a class of compact and non-compact quasi-Einstein metrics and their renormalizability properties
• Ricci solitons of the \(\mathbb{H}^2 \times \mathbb{R}\) Lie group
• Classification of static spherically symmetric space-times in f(R) theory of gravity according to their conformal vector fields
• Bi-conformal vector fields and their applications
• A note on some Bianchi type II spacetimes and their conformal vector fields in f(R) theory of gravity
• Kerr-Schild symmetries

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