On curvature homogeneity of Riemannian manifolds

DOI10.2748/tmj/1178241081zbMath0302.53022OpenAlexW1977082611WikidataQ115227185 ScholiaQ115227185MaRDI QIDQ1215951

Hitoshi Takagi

Publication date: 1974

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178241081

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Local Riemannian geometry (53B20)

Related Items (12)

Non-homogeneous relatives of symmetric spaces ⋮ Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3 ⋮ A characterization of locally homogeneous Riemann manifolds of dimension 3 ⋮ A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃ ⋮ Complete \(k\)-curvature homogeneous pseudo-Riemannian manifolds ⋮ On curvature homogeneous three-dimensional Lorentzian manifolds ⋮ Curvature homogeneous hypersurfaces immersed in a real space form ⋮ Curvature homogeneous riemannian manifolds ⋮ The \(\kappa\)-nullity of Riemannian manifolds and their splitting tensors ⋮ On the Riemannian manifolds of the form $B\times_{f}F$ ⋮ A new family of curvature homogeneous pseudo-Riemannian manifolds ⋮ Curvature homogeneous manifolds in dimension 4

Cites Work

• 3-dimensional Riemannian manifolds satisfying R(X,Y).R = 0
• On homogeneous Riemannian manifolds
• On some 3-dimensional Riemannian manifolds
• Infinitesimally homogeneous spaces
• Unnamed Item

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