On two theorems of I. M. Singer about homogeneous spaces

DOI10.1007/BF00128003zbMath0676.53058MaRDI QIDQ1122796

Franco Tricerri, Lorenzo Nicolodi

Publication date: 1990

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

homogeneous Riemannian manifoldcovariant derivativesRiemann curvature tensor

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (19)

Curvature-orbits and locally homogeneous Riemannian manifolds ⋮ Locally homogeneous Riemannian manifolds and Cartan triples ⋮ Isometry groups of three-dimensional Lie groups ⋮ Infinitesimally homogeneous submanifolds of Euclidean spaces ⋮ Immortal homogeneous Ricci flows ⋮ Cyclic homogeneous Riemannian manifolds ⋮ Locally homogeneous pseudo-Riemannian manifolds ⋮ On strictly locally homogeneous Riemannian manifolds ⋮ Convergence of locally homogeneous spaces ⋮ On a generalization of curvature homogeneous spaces ⋮ On Hermitian manifolds whose Chern connection is Ambrose-Singer ⋮ Counter-example to the second Singer's theorem ⋮ Jacobi relations on naturally reductive spaces ⋮ Infinitesimal homogeneity and bundles ⋮ Curvature invariants, differential operators and local homogeneity ⋮ Level sets of scalar Weyl invariants and cohomogeneity ⋮ Curvature invariants, Killing vector fields, connections and cohomogeneity ⋮ Curvature homogeneous metrics on principal fibre bundles ⋮ Reductive locally homogeneous pseudo-Riemannian manifolds and Ambrose-Singer connections

Cites Work

• Counter-example to the second Singer's theorem
• On homogeneous Riemannian manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Curvature homogeneous riemannian manifolds
• Infinitesimally homogeneous spaces
• Invariant Affine Connections on Homogeneous Spaces
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