On Riemannian 3-manifolds with distinct constant Ricci eigenvalues

DOI10.1007/BF01450473zbMath0813.53020OpenAlexW205501734WikidataQ115393502 ScholiaQ115393502MaRDI QIDQ1337538

Friedbert Prüfer, Oldřich Kowalski

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165239

zbMATH Keywords

curvature homogeneousRicci eigenvaluesRicci endomorphism

Mathematics Subject Classification ID

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

Related Items (14)

Curvature homogeneous Lorentzian three-manifolds ⋮ A classification of special Riemannian 3-manifolds with distinct constant Ricci eigenvalues ⋮ On curvature homogeneous three-dimensional Lorentzian manifolds ⋮ On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds ⋮ On the principal Ricci curvatures of a Riemannian 3-manifold ⋮ Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues ⋮ Riemannian 3-metrics with a generic Codazzi Ricci tensor ⋮ Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues ⋮ Three-dimensional homogeneous Lorentzian metrics with prescribed Ricci tensor ⋮ Three-dimensional Ivanov–Petrova manifolds ⋮ On the Ricci operator of locally homogeneous Lorentzian 3-manifolds ⋮ On curvature-homogeneous spaces of type (1,3) ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ The third fundamental form metric for hypersurfaces in nonflat space forms

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• On some 3-dimensional Riemannian manifolds
• A characterization of locally homogeneous Riemann manifolds of dimension 3
• A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃
• Infinitesimally homogeneous spaces

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