Curvature homogeneous riemannian manifolds

DOI10.24033/asens.1592zbMath0698.53033OpenAlexW2525528831WikidataQ115228370 ScholiaQ115228370MaRDI QIDQ3475956

Franco Tricerri, Lieven Vanhecke

Publication date: 1989

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_1989_4_22_4_535_0

zbMATH Keywords

curvature tensorsymmetric spacenullity distributionmodel spaceisometry classesnaturally reductive homogeneous Einstein space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (12)

Non-homogeneous relatives of symmetric spaces ⋮ Curvature-orbits and locally homogeneous Riemannian manifolds ⋮ Homogeneous Riemannian manifolds with non-trivial nullity ⋮ A characterization of locally homogeneous Riemann manifolds of dimension 3 ⋮ A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃ ⋮ Four-dimensional Einstein-like manifolds and curvature homogeneity ⋮ On curvature homogeneous three-dimensional Lorentzian manifolds ⋮ Geodesic spheres and two-point homogeneous spaces ⋮ On two theorems of I. M. Singer about homogeneous spaces ⋮ Conformally Osserman manifolds of dimension 16 and a Weyl-Schouten theorem for rank-one symmetric spaces ⋮ Semi-symmetric Lorentzian three-manifolds admitting a parallel degenerate line field ⋮ Curvature homogeneous manifolds in dimension 4

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