Curvature properties of four-dimensional generalized symmetric spaces

DOI10.1007/S00022-008-2046-8zbMath1166.53317OpenAlexW2088209281WikidataQ125621572 ScholiaQ125621572MaRDI QIDQ1021319

Barbara De Leo, Giovanni Calvaruso

Publication date: 8 June 2009

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

Full work available at URL: https://doi.org/10.1007/s00022-008-2046-8

zbMATH Keywords

curvaturepseudo-Riemannian homogeneous spacesgeneralized symmetric spacesEinstein-like metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (10)

Gray’s decomposition on doubly warped product manifolds and applications ⋮ Four-dimensional pseudo-Riemannian generalized symmetric spaces which are algebraic Ricci solitons ⋮ Curvature properties and Ricci solitons of Lorentzian pr-waves manifolds ⋮ Einstein-like warped product manifolds ⋮ Harmonicity of vector fields on four-dimensional generalized symmetric spaces ⋮ Modules over quandle spaces and representations of Lie-Yamaguti algebras ⋮ Geometric structures over four-dimensional generalized symmetric spaces ⋮ Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces ⋮ Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces ⋮ Ricci solitons on low-dimensional generalized symmetric spaces

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