Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds
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Publication:2274107
DOI10.1016/j.matpur.2019.01.005zbMath1423.53057OpenAlexW2913550678MaRDI QIDQ2274107
Xabier García-Martínez, Eduardo García-Río, Ramón Vázquez-Lorenzo, Esteban Calviño-Louzao, Ixchel Gutiérrez-Rodríguez
Publication date: 19 September 2019
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2019.01.005
Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)
Related Items (8)
Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ Rigidity of homogeneous gradient soliton metrics and related equations ⋮ Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups ⋮ A conformally invariant Yang–Mills type energy and equation on 6-manifolds ⋮ Fixed points and steady solitons for the two-loop renormalization group flow ⋮ Gradient ambient obstruction solitons on homogeneous manifolds ⋮ Homogeneous conformal \(C\)-spaces in dimension four ⋮ Homogeneous four-manifolds with half-harmonic Weyl curvature tensor
Uses Software
Cites Work
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- Bach-flat Lie groups in dimension 4
- On Bach flat warped product Einstein manifolds
- Homogeneous Ricci solitons are algebraic
- Some remarks on the converse of Weyl's conformal theorem
- Conformal Einstein spaces
- Conformally flat Riemannian manifolds admitting a transitive group of isometries
- Structure of homogeneous Riemann spaces with zero Ricci curvature
- Curvatures of left invariant metrics on Lie groups
- On Bach-flat gradient shrinking Ricci solitons
- Bach-flat Kähler surfaces
- On four-dimensional anti-self-dual gradient Ricci solitons
- Homogeneous Einstein spaces of dimension four
- Product structures on four dimensional solvable Lie algebras
- Bach-flat gradient steady Ricci solitons
- Analytic and geometric properties of generic Ricci solitons
- A report on locally conformally K\"ahler manifolds
- Noncompact shrinking four solitons with nonnegative curvature
- On gradient Ricci solitons with symmetry
- Ambient obstruction flow
- ISOPARAMETRIC GEODESIC SPHERES AND A CONJECTURE OF OSSERMAN CONCERNING THE JACOBI OPERATOR
- Ideals, Varieties, and Algorithms
- Classification of 4-dimensional homogeneous weakly einstein manifolds
- Homogeneous Ricci Solitons in Low Dimensions
- FOUR-DIMENSIONAL CONFORMAL C-SPACES
- The geometry of symplectic pairs
- Ricci soliton homogeneous nilmanifolds
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