Homogeneity of Lorentzian three-manifolds with recurrent curvature

DOI10.1002/mana.201200302zbMath1307.53057arXiv1210.7764OpenAlexW1907528775MaRDI QIDQ5408088

Peter B. Gilkey, Eduardo García-Río, Stana Ž. Nikčević

Publication date: 8 April 2014

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

Full work available at URL: https://arxiv.org/abs/1210.7764

zbMATH Keywords

Ricci solitoncurvature homogeneityWalker manifoldCotton soliton

Mathematics Subject Classification ID

Related Items (17)

Ricci solitons on four-dimensional Lorentzian Lie groups ⋮ Locally homogeneous pp-waves ⋮ More on cotton flow ⋮ On Lie groups with recurrent curvature in dimension four ⋮ Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case* ⋮ Homogeneous three-dimensional Lorentzian spaces ⋮ On conformal geometry of four-dimensional generalized symmetric spaces ⋮ Weakly-Einstein conditions over locally conformally flat Lorentzian three-manifolds ⋮ Corrigendum to: ``Three-dimensional Lorentzian homogeneous Ricci solitons ⋮ Homogeneous and curvature homogeneous Lorentzian critical metrics ⋮ Singer invariants and various types of curvature homogeneity ⋮ Three-dimensional conformally symmetric manifolds ⋮ Homothety curvature homogeneity and homothety homogeneity ⋮ Recurrent curvature over four-dimensional homogeneous manifolds ⋮ Ricci almost solitons on three-dimensional manifolds with recurrent curvature ⋮ Three-dimensional manifolds with special Cotton tensor ⋮ Symmetries of Lorentzian three-manifolds with recurrent curvature

Cites Work

• Unnamed Item
• Locally conformally flat Lorentzian gradient Ricci solitons
• Lorentz manifolds modelled on a Lorentz symmetric space
• Homogeneous plane waves
• On a generalization of curvature homogeneous spaces
• Three-dimensional Lorentz metrics and curvature homogeneity of order one
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Curvature operators and generalizations of symmetric spaces in Lorentzian geometry
• Ricci solitons on Lorentzian manifolds with large isometry groups
• On curvature-homogeneous spaces of type (1,3)
• A note on compact Cotton solitons
• Three-dimensional conformally flat homogeneous Lorentzian manifolds
• Cotton flow
• Classification of solutions in topologically massive gravity
• The Geometry of Walker Manifolds
• Einstein-Like Lorentz Metrics and Three-Dimensional Curvature Homogeneity of Order One
• Left invariant metrics and curvatures on simply connected three-dimensional Lie groups
• The Cotton tensor in Riemannian spacetimes
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Infinitesimally homogeneous spaces
• AFFINE CURVATURE HOMOGENEOUS 3-DIMENSIONAL LORENTZ MANIFOLDS
• On Ruse's Spaces of Recurrent Curvature

This page was built for publication: Homogeneity of Lorentzian three-manifolds with recurrent curvature