Geometric structures over non-reductive homogeneous 4-spaces

DOI10.1515/ADVGEOM-2014-0014zbMath1298.53072OpenAlexW2324349433MaRDI QIDQ5170682

Amirhesam Zaeim, Giovanni Calvaruso

Publication date: 24 July 2014

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2014-0014

zbMATH Keywords

Walker manifolds(anti)self-dual metricfour-dimensional homogeneous pseudo-Riemannian manifoldsparallel field of planes

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (8)

Harmonic metrics on four dimensional non-reductive homogeneous manifolds ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Generalized Ricci solitons on non-reductive four-dimensional homogeneous spaces ⋮ On conformal geometry of four-dimensional generalized symmetric spaces ⋮ On self-duality and anti-self-duality of four-dimensional neutral Lie groups ⋮ A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces ⋮ Invariant symmetries on non-reductive homogeneous pseudo-Riemannian four-manifolds ⋮ Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds

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