A characterization of locally homogeneous Riemann manifolds of dimension 3

DOI10.1017/S0027763000003652zbMath0738.53032MaRDI QIDQ3988496

Kazuo Yamato

Publication date: 28 June 1992

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Ricci tensorlocal homogeneity3- dimensional Riemann geometryconstant Ricci eigenvalues

Mathematics Subject Classification ID

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

Related Items (15)

Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3 ⋮ On Riemannian 3-manifolds with distinct constant Ricci eigenvalues ⋮ A classification of special Riemannian 3-manifolds with distinct constant Ricci eigenvalues ⋮ A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃ ⋮ Four-dimensional Einstein-like manifolds and curvature homogeneity ⋮ Special ball-homogeneous spaces ⋮ On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds ⋮ The \(\kappa\)-nullity of Riemannian manifolds and their splitting tensors ⋮ On the principal Ricci curvatures of a Riemannian 3-manifold ⋮ Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues ⋮ CURVATURE HOMOGENEITY AND BALL-HOMOGENEITY ON ALMOST COKӒHLER 3-MANIFOLDS ⋮ Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues ⋮ A geometric introduction to the two-loop renormalization group flow ⋮ Hypersurfaces with a parallel higher fundamental form ⋮ On curvature-homogeneous spaces of type (1,3)

Cites Work

• On curvature homogeneity of Riemannian manifolds
• Curvatures of left invariant metrics on Lie groups
• Curvature homogeneous Riemannian manifolds
• The fundamental equations of a submersion
• On some 3-dimensional Riemannian manifolds
• Curvature homogeneous riemannian manifolds
• Infinitesimally homogeneous spaces

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