Einstein metrics on solvable groups

DOI10.1007/BF02571355zbMath0707.53038OpenAlexW2076093291WikidataQ125976763 ScholiaQ125976763MaRDI QIDQ1812941

Thomas H. Wolter

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174237

zbMATH Keywords

Einstein manifoldsnegative Ricci curvatureleft invariant metricssolvable Lie groupsgeodesic symmetries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25)

Related Items

Lie algebras whose Lie groups have negative sectional curvature ⋮ Einstein solvmanifolds and graphs ⋮ Alekseevskian spaces ⋮ Einstein metrics on bundles over Hyperkähler manifolds ⋮ Einstein hypersurfaces in irreducible symmetric spaces ⋮ Flag curvatures of homogeneous Finsler spaces ⋮ Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds ⋮ New examples of non-symmetric Einstein solvmanifolds of negative Ricci curvature ⋮ A deformation of quaternionic hyperbolic space ⋮ Double extensions on Riemannian Ricci nilsolitons ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Ricci nilsoliton black holes ⋮ Some properties of Einstein metrics on solvable Lie groups ⋮ Noncompact homogeneous Einstein manifolds attached to graded Lie algebras ⋮ The existence of soliton metrics for nilpotent Lie groups ⋮ Einstein metrics: homogeneous solvmanifolds, generalised Heisenberg groups and black holes ⋮ Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces ⋮ Sur un type particulier de valeur propre des solvariétés d'Einstein ⋮ Indefinite nilsolitons and Einstein solvmanifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the transitivity of holonomy systems
• On j-algebras and homogeneous Kähler manifolds
• On the nilpotent Lie algebras of dimension \(\leq 7)\)
• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• Ricci curvature of left invariant metrics on solvable unimodular Lie groups
• Riemannian nilmanifolds attached to Clifford modules
• Sur les domaines bornes homogenes de l'espace de \(n\) variables. complexes
• Derivations of Nilpotent Lie Algebras
• A Characterization of Bounded Symmetric Domains by Curvature
• Left-invariant degenerate elliptic operators on semidirect extensions of homogeneous groups
• Homogeneous Manifolds with Negative Curvature. I
• HOMOGENEOUS RIEMANNIAN SPACES OF NEGATIVE CURVATURE
• Homogeneous manifolds with negative curvature. II
• THE GEOMETRY AND CLASSIFICATION OF BOUNDED HOMOGENEOUS DOMAINS
• CONJUGACY OF POLAR FACTORIZATIONS OF LIE GROUPS