COMPLEX AND PARACOMPLEX STRUCTURES ON HOMOGENEOUS PSEUDO-RIEMANNIAN FOUR-MANIFOLDS

DOI10.1142/S0129167X12501303zbMath1266.53033WikidataQ115246526 ScholiaQ115246526MaRDI QIDQ4916129

Giovanni Calvaruso, Anna Fino

Publication date: 19 April 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

symplectic structurespseudo-Riemannian homogeneous spacesclassification theoremshypercomplex structuresalmost (para)Hermitianalmost (para)Kählerian structuresG-structures on four-manifoldsnontrivial isotropy subalgebrapseudo bi-Hermitian structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) 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 (9)

ON PARASASAKIAN STRUCTURES ON FIVEDIMENSIONAL LIE ALGEBRAS ⋮ Extending invariant complex structures ⋮ Unnamed Item ⋮ Four-dimensional homogeneous Lorentzian manifolds ⋮ Holonomy classification of Lorentz-Kähler manifolds ⋮ From almost (para)-complex structures to affine structures on Lie groups ⋮ Geometry of four-dimensional Kähler and para-Kähler Lie groups ⋮ A complete classification of four-dimensional para-Kähler Lie algebras ⋮ Four-dimensional pseudo-Riemannian homogeneous Ricci solitons

Cites Work

• Generalized pseudo-Kähler structures
• Four-dimensional Lie algebras with a para-hypercomplex structure
• Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces
• On the structure of pseudo-Riemannian symmetric spaces
• Invariant complex structures on solvable real Lie groups
• A survey on paracomplex geometry
• Product structures on four dimensional solvable Lie algebras
• On the topological structure of solvable groups
• Factor spaces of solvable groups
• Ricci Solitons and Geometry of Four-dimensional Non-reductive Homogeneous Spaces
• Homogeneous para-Kähler Einstein manifolds
• Pseudo-Riemannian symmetric spaces
• Bihermitian Structures on Complex Surfaces
• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four

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