On a generalization of curvature homogeneous spaces

DOI10.1007/S00025-011-0177-YzbMath1262.53036OpenAlexW2028827108MaRDI QIDQ1936914

Oldřich Kowalski, Alena Vanžurová

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0177-y

zbMATH Keywords

Riemannian manifoldlocally homogeneous spacescurvature homogeneous manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Singer invariants and various types of curvature homogeneity ⋮ Homothety curvature homogeneity and homothety homogeneity ⋮ Homogeneity of Lorentzian three-manifolds with recurrent curvature ⋮ A common generalization of curvature homogeneity theories

Cites Work

• On two theorems of I. M. Singer about homogeneous spaces
• On curvature homogeneous three-dimensional Lorentzian manifolds
• Curvature homogeneous Riemannian manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• On some 3-dimensional Riemannian manifolds
• Infinitesimally homogeneous spaces
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