Algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
From MaRDI portal
Publication:512087
DOI10.1016/j.geomphys.2016.11.018zbMath1359.53035OpenAlexW2963796167WikidataQ115353005 ScholiaQ115353005MaRDI QIDQ512087
Publication date: 23 February 2017
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.11.018
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)
Related Items
New pseudo Einstein metrics on Einstein solvmanifolds ⋮ Affine Ricci solitons associated to the Bott connection on three-dimensional Lorentzian Lie groups ⋮ Affine generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated to Yano connection ⋮ Affine algebraic Ricci solitons associated to the Yano connections on three-dimensional Lorentzian Lie groups ⋮ Homogeneous and curvature homogeneous Lorentzian critical metrics ⋮ Conformal vector fields on Lie groups: the trans-Lorentzian signature ⋮ Ricci solitons of the \(\mathbb{H}^2 \times \mathbb{R}\) Lie group ⋮ Three dimensional homogeneous hyperbolic Ricci solitons ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Pseudo-algebraic Ricci solitons on Einstein nilradicals ⋮ On the geometrical properties of Heisenberg groups ⋮ Unnamed Item ⋮ Indefinite nilsolitons and Einstein solvmanifolds ⋮ Canonical connections and algebraic Ricci solitons of three-dimensional Lorentzian Lie groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Locally conformally flat Lorentzian gradient Ricci solitons
- Homogeneous Ricci solitons are algebraic
- Examples of algebraic Ricci solitons in the pseudo-Riemannian case
- Homogeneous structures on three-dimensional Lorentzian manifolds
- Lorentz metrics on unimodular Lie groups of dimension three
- Curvatures of left invariant metrics on Lie groups
- Left-invariant Lorentz metrics on Lie groups
- Three-dimensional Lorentzian homogeneous Ricci solitons
- Homogeneous Ricci solitons
- Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
- On the long-time behavior of type-III Ricci flow solutions
- Ricci solitons on Lorentzian manifolds with large isometry groups
- Linear stability of homogeneous Ricci solitons
- On gradient Ricci solitons with symmetry
- Generic properties of homogeneous Ricci solitons
- Homogeneous Ricci Solitons in Low Dimensions
- Three-dimensional Ricci solitons which project to surfaces
- Ricci soliton homogeneous nilmanifolds
- Lorentz Ricci solitons on 3-dimensional Lie groups
