Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces

DOI10.1016/j.difgeo.2011.08.004zbMath1228.53037OpenAlexW2064145442WikidataQ115356789 ScholiaQ115356789MaRDI QIDQ645476

Giovanni Calvaruso

Publication date: 15 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.08.004

zbMATH Keywords

symplectic structurespseudo-Riemannian homogeneous spacesgeneralized symmetric spaces(para)complex and (para)Kähler structures(para)Sasakian\(K\)-(para)contact metric manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

ON PARASASAKIAN STRUCTURES ON FIVEDIMENSIONAL LIE ALGEBRAS ⋮ On Legendre submanifolds in Lorentzian Sasakian space forms ⋮ Geometry of four-dimensional Kähler and para-Kähler Lie groups ⋮ Modules over quandle spaces and representations of Lie-Yamaguti algebras ⋮ Geometric structures over four-dimensional generalized symmetric spaces ⋮ A complete classification of four-dimensional para-Kähler Lie algebras ⋮ Ricci solitons on low-dimensional generalized symmetric spaces ⋮ COMPLEX AND PARACOMPLEX STRUCTURES ON HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS ⋮ Generalized symplectic symmetric spaces ⋮ Certain results on almost contact pseudo-metric manifolds

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