Homogeneous Einstein spaces of dimension four
From MaRDI portal
Publication:2538992
DOI10.4310/jdg/1214429056zbMath0194.53203OpenAlexW1578338705WikidataQ115193086 ScholiaQ115193086MaRDI QIDQ2538992
Publication date: 1969
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214429056
Related Items (58)
Ricci solitons on four-dimensional Lorentzian Lie groups ⋮ Four-Dimensional Homogeneous Generalizations of Einstein Metrics ⋮ Collapsing and group growth as obstructions to Einstein metrics on some smooth 4-manifolds ⋮ Four-dimensional Einstein-like manifolds and curvature homogeneity ⋮ Compact Einstein-Weyl manifolds with large symmetry group ⋮ A step towards the Alekseevskii conjecture ⋮ Bach-flat Lie groups in dimension 4 ⋮ Four-dimensional almost Kähler locally symmetric spaces ⋮ Four-dimensional Lorentzian Lie groups ⋮ Unnamed Item ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Non-compact Einstein manifolds with symmetry ⋮ Homogeneous Einstein metrics and butterflies ⋮ Automorphisms in generalized spaces ⋮ Conformally Einstein Lorentzian Lie groups: extensions of the Euclidean and Poincaré groups ⋮ Parallel skew-symmetric tensors on 4-dimensional metric Lie algebras ⋮ Invariants, orbits and symmetric spaces ⋮ On G$$_{\mathbf 2}$$-Structures, Special Metrics and Related Flows ⋮ Einstein homogeneous bisymmetric fibrations ⋮ Compact homogeneous Einstein 6-manifolds. ⋮ Geodesic completeness of the left-invariant metrics on \(\mathbb{R} H^n\) ⋮ The geometry of the Sasaki metric on the sphere bundles of Euclidean Atiyah vector bundles ⋮ Four-dimensional homogeneous manifolds satisfying some Einstein-like conditions ⋮ Examples of compact Einstein four-manifolds with negative curvature ⋮ Semi-symmetric four dimensional neutral Lie groups ⋮ Geometric invariants for nilpotent metric Lie algebras with applications to moduli spaces of nilsoliton metrics ⋮ Spaces of Riemannian metrics ⋮ The Alekseevskii conjecture in 9 and 10 dimensions ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Harmonic structures and intrinsic torsion ⋮ Low-dimensional homogeneous Einstein manifolds ⋮ The Alekseevskii conjecture in low dimensions ⋮ Estimates and extremals for zeta function determinants on four-manifolds ⋮ Homogeneous Riemannian structures on some solvable extensions of the Heisenberg group ⋮ The existence of soliton metrics for nilpotent Lie groups ⋮ Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups ⋮ Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor ⋮ Examples of almost Einstein structures on products and in cohomogeneity one ⋮ Some Einstein homogeneous Riemannian fibrations ⋮ On the \(G_{2}\) bundle of a Riemannian 4-manifold ⋮ On Einstein four-manifolds ⋮ On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups ⋮ Conformally Einstein and Bach-flat four-dimensional homogeneous manifolds ⋮ Lie groups and homogeneous spaces ⋮ A note on Ricci signatures ⋮ A conformally invariant gap theorem characterizing \(\mathbb{CP}^2\) via the Ricci flow ⋮ Lagrangian submanifolds of the complex hyperbolic quadric ⋮ KÄHLER SURFACES WITH QUASI CONSTANT HOLOMORPHIC CURVATURE ⋮ Classification of 4-dimensional homogeneous D’Atri spaces ⋮ Homogeneous conformal \(C\)-spaces in dimension four ⋮ Homogeneous Manifolds with Negative Curvature. I ⋮ Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres ⋮ Weakly-Einstein Hermitian surfaces ⋮ Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces ⋮ Classification of left invariant metrics on 4-dimensional solvable Lie groups ⋮ Line congruences as surfaces in the space of lines ⋮ Classification of 4-dimensional homogeneous weakly einstein manifolds ⋮ Homogeneous four-manifolds with half-harmonic Weyl curvature tensor
This page was built for publication: Homogeneous Einstein spaces of dimension four
