Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues

DOI10.1016/J.DIFGEO.2007.11.031zbMath1153.53053OpenAlexW2063613537WikidataQ115357620 ScholiaQ115357620MaRDI QIDQ931151

Giovanni Calvaruso

Publication date: 25 June 2008

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2007.11.031

zbMATH Keywords

pseudo-Riemannian manifoldsRicci eingevalues

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Curvature homogeneous Lorentzian three-manifolds ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Existence and classification of three-dimensional Lorentzian manifolds with prescribed distinct Ricci eigenvalues ⋮ On prescribed values of the operator of sectional curvature on three-dimensional locally homogeneous Lorentzian manifolds ⋮ LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS ⋮ Locally homogeneous four-dimensional manifolds of signature \((2,2)\) ⋮ Three-dimensional Ivanov–Petrova manifolds ⋮ Semi-symmetric Lorentzian metrics and three-dimensional curvature homogeneity of order one ⋮ On the Ricci operator of locally homogeneous Lorentzian 3-manifolds ⋮ Three-dimensional semi-symmetric homogeneous Lorentzian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous structures on three-dimensional Lorentzian manifolds
• Lorentz metrics on unimodular Lie groups of dimension three
• Curvatures of left invariant metrics on Lie groups
• Classification of Riemannian 3-manifolds with distinct constant principal Ricci curvatures
• On Riemannian 3-manifolds with distinct constant Ricci eigenvalues
• On curvature homogeneous three-dimensional Lorentzian manifolds
• On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• A characterization of locally homogeneous Riemann manifolds of dimension 3
• A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ₁= ρ₂≠ ρ₃
• Three-dimensional Lorentzian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Examples of curvature homogeneous Lorentz metrics
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Complete curvature homogeneous pseudo-Riemannian manifolds
• Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3
• Infinitesimally homogeneous spaces

This page was built for publication: Pseudo-Riemannian 3-manifolds with prescribed distinct constant Ricci eigenvalues