Hypersymplectic Lie algebras

DOI10.1016/j.geomphys.2005.11.006zbMath1177.53027OpenAlexW2089532530MaRDI QIDQ2507660

Adrián Andrada

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.11.006

zbMATH Keywords

symplectic formhypersymplectic structurecomplex product structureflat torsion-free connection

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

Left invariant special Kähler structures ⋮ Double products and hypersymplectic structures on \(\mathbb R^{4n}\) ⋮ Hyper-para-Kähler Lie algebras with abelian complex structures and their classification up to dimension 8 ⋮ Flat affine symplectic Lie groups ⋮ Special symplectic Lie groups and hypersymplectic Lie groups ⋮ Four-dimensional Lie algebras with a para-hypercomplex structure ⋮ Geometry of four-dimensional Kähler and para-Kähler Lie groups ⋮ Symmetric and skew-symmetric complex structures ⋮ Complex symplectic structures on Lie algebras ⋮ Weak mirror symmetry of complex symplectic Lie algebras ⋮ Complex, symplectic, and contact structures on low-dimensional Lie groups ⋮ Para-Hermitian and paraquaternionic manifolds ⋮ On k-para-Kähler Lie algebras, a subclass of k-symplectic Lie algebras ⋮ On para-Kähler and hyper-para-Kähler Lie algebras

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