Affine algebraic Ricci solitons associated to the Yano connections on three-dimensional Lorentzian Lie groups

DOI10.1007/s44198-024-00178-0OpenAlexW4392809362MaRDI QIDQ6127152

Shahroud Azami

Publication date: 10 April 2024

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

Full work available at URL: https://doi.org/10.1007/s44198-024-00178-0

zbMATH Keywords

Lie groupalgebraic Ricci solitonthree-dimensional Lorentzian

Mathematics Subject Classification ID

Topological groups, Lie groups (22-XX) Differential geometry (53-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curvature properties and Ricci solitons of Lorentzian pr-waves manifolds
• Homogeneous Ricci solitons are algebraic
• Examples of algebraic Ricci solitons in the pseudo-Riemannian case
• Multiply warped products with a quarter-symmetric connection
• Algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
• Warped products with a semi-symmetric non-metric connection
• Warped products with a semi-symmetric metric connection
• Ricci solitons on Lorentzian-Walker three-manifolds
• On a semi-quasi-Einstein manifold
• Homogeneous structures on three-dimensional Lorentzian manifolds
• Ricci nilsoliton black holes
• The existence of soliton metrics for nilpotent Lie groups
• Nonlinear models in \(2+\epsilon\) dimensions
• Lorentz metrics on unimodular Lie groups of dimension three
• Multiply warped products with a semisymmetric metric connection
• Three-dimensional Lorentzian homogeneous Ricci solitons
• Pseudo-algebraic Ricci solitons on Einstein nilradicals
• Homogeneous Ricci solitons
• Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group
• Towards physically motivated proofs of the Poincaré and geometrization conjectures
• On the geometry of gradient Einstein-type manifolds
• Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-nomizu connections
• Distinguished connections on $(J^{2}=\pm 1)$-metric manifolds
• CURVATURE OF MULTIPLY WARPED PRODUCTS WITH AN AFFINE CONNECTION
• Ricci soliton solvmanifolds
• Ricci solitons and Einstein-scalar field theory
• A new approach to gradient Ricci solitons and generalizations
• Affine Ricci Solitons of Three-Dimensional Lorentzian Lie Groups
• Three-dimensional Ricci solitons which project to surfaces
• Lorentzian three-manifolds with special curvature operators
• Ricci soliton homogeneous nilmanifolds
• Lorentz Ricci solitons on 3-dimensional Lie groups
• Homogeneous and curvature homogeneous Lorentzian critical metrics