Counter-example to the second Singer's theorem

DOI10.1007/BF00128004zbMath0736.53047OpenAlexW1974062915MaRDI QIDQ1173573

Oldřich Kowalski

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf00128004

zbMATH Keywords

homogeneous Riemannian manifoldcovariant derivativescounter-exampleRiemann curvature tensor

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (20)

Curvature-orbits and locally homogeneous Riemannian manifolds ⋮ Locally homogeneous Riemannian manifolds and Cartan triples ⋮ Infinitesimally homogeneous submanifolds of Euclidean spaces ⋮ Locally homogeneous pseudo-Riemannian manifolds ⋮ On strictly locally homogeneous Riemannian manifolds ⋮ A compactness theorem for locally homogeneous spaces ⋮ Differential geometry of \(\mathfrak{g}\)-manifolds ⋮ On two theorems of I. M. Singer about homogeneous spaces ⋮ Convergence of locally homogeneous spaces ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Structure theory of naturally reductive spaces ⋮ The Ambrose-Singer theorem for general homogeneous manifolds with applications to symplectic geometry ⋮ The Classification of 7- and 8-dimensional Naturally Reductive Spaces ⋮ Geometry of homogeneous Riemannian manifolds ⋮ Curvature invariants, differential operators and local homogeneity ⋮ Locally homogeneous rigid geometric structures on surfaces ⋮ A new construction of naturally reductive spaces ⋮ Optimal Curvature Estimates for Homogeneous Ricci Flows ⋮ A remark on locally homogeneous Riemannian spaces ⋮ Reductive locally homogeneous pseudo-Riemannian manifolds and Ambrose-Singer connections

Cites Work

• On two theorems of I. M. Singer about homogeneous spaces
• Infinitesimally homogeneous spaces
• Generalized symmetric spaces

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