Three- and four-dimensional Einstein-like manifolds and homogeneity

DOI10.1023/A:1005060208823zbMath0944.53026MaRDI QIDQ1290874

Lieven Vanhecke, Peter Bueken

Publication date: 12 September 2000

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

homogeneous manifoldEinstein-like manifoldcurvature homogeneous manifoldD'Atri space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (13)

Einstein-like pseudo-Riemannian homogeneous manifolds of dimension four ⋮ Gray’s decomposition on doubly warped product manifolds and applications ⋮ The classification of 4-dimensional homogeneous D'Atri spaces revisited ⋮ Curvature properties and Ricci solitons of Lorentzian pr-waves manifolds ⋮ Harmonicity of vector fields on the oscillator groups with neutral signature ⋮ Einstein-like warped product manifolds ⋮ Riemannian 3-metrics with a generic Codazzi Ricci tensor ⋮ On the geometry of orthonormal frame bundles. II ⋮ Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds ⋮ On the geometry of orthonormal frame bundles ⋮ The Riemann extensions with cyclic parallel Ricci tensor ⋮ Classification of 4-dimensional homogeneous D’Atri spaces ⋮ Einstein-like Lorentzian Lie groups of dimension four

Uses Software

• Maple

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