Sur la courbure des métriques riemanniennes invariantes des groupes de Lie et des espaces homogènes

DOI10.24033/asens.1356zbMath0426.53038OpenAlexW2403216160MaRDI QIDQ3862068

Lionel Bérard Bergery

Publication date: 1978

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1978_4_11_4_543_0

zbMATH Keywords

Ricci curvaturesectional curvatureG-invariant Riemannian metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Lie groups (22E99)

Related Items (23)

Existence and non-existence of homogeneous Einstein metrics ⋮ On Ricci Negative Lie Groups ⋮ Compact Einstein-Weyl manifolds with large symmetry group ⋮ On the Chern-Ricci flow and its solitons for Lie groups ⋮ Homogeneous Einstein metrics on Euclidean spaces are Einstein solvmanifolds ⋮ Canonical Higgs fields from higher-dimensional gravity ⋮ On the structure of geodesic orbit Riemannian spaces ⋮ Curvature flows for almost-hermitian Lie groups ⋮ Non-compact Einstein manifolds with symmetry ⋮ Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature ⋮ On the signature of the Ricci curvature on nilmanifolds ⋮ Sectional curvature of connections with vectorial torsion ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Some properties of Einstein metrics on solvable Lie groups ⋮ Solvable extensions of negative Ricci curvature of filiform Lie groups ⋮ Reduction by group symmetry of second order variational problems on a semidirect product of Lie groups with positive definite Riemannian metric ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Homogeneous spaces with inner metric and with integrable invariant distributions ⋮ Scalar curvatures of the first and second kinds of a left-invariant Riemannian metric and universal covering ⋮ Optimal Curvature Estimates for Homogeneous Ricci Flows ⋮ Einstein extensions of Riemannian manifolds ⋮ On solvable Lie groups of negative Ricci curvature ⋮ Scalar curvature behavior of homogeneous Ricci flows

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• The geometry and structure of isotropy irreducible homogeneous spaces
• Tabellen zu den einfachen Lie Gruppen und ihren Darstellungen
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Riemannsche Solvmannigfaltigkeiten
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS

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