Generalized Ricci solitons on three-dimensional Lorentzian Walker manifolds

DOI10.1007/s44198-023-00134-4zbMath1529.53090OpenAlexW4385978784MaRDI QIDQ6140473

Ghodratallah Fasihi Ramandi, Shahroud Azami, Vahid Pirhadi

Publication date: 22 January 2024

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s44198-023-00134-4

zbMATH Keywords

generalized Ricci solitonLorentzian Walker manifoldsstrictly Lorentzian Walker manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

• Generalized Ricci solitons
• Ricci solitons on Lorentzian-Walker three-manifolds
• Ricci solitons: The equation point of view
• Ricci solitons on four-dimensional Lorentzian Walker manifolds
• Classification of near-horizon geometries of extremal black holes
• Perfect fluid spacetimes and gradient solitons
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Some Non-Trivial and Non-Gradient Closed Pseudo-Riemannian Steady Ricci Solitons
• CANONICAL FORM FOR A RIEMANNIAN SPACE WITH A PARALLEL FIELD OF NULL PLANES
• Complete shrinking Ricci–Bourguignon harmonic solitons
• Generalized Ricci solitons on non-reductive four-dimensional homogeneous spaces
• Conformal Ricci soliton and geometrical structure in a perfect fluid spacetime

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