HYPERSTRUCTURES ON LIE ALGEBROIDS

DOI10.1142/S0129055X13430034zbMath1287.53070arXiv1304.4102OpenAlexW1994776297MaRDI QIDQ2871272

Joana M. Nunes da Costa, Paulo Antunes

Publication date: 22 January 2014

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.4102

zbMATH Keywords

Lie algebroidhyper-Kähler structureshypersymplectic structures

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (5)

Hypersymplectic structures with torsion on Lie algebroids ⋮ On almost complex Lie algebroids ⋮ Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid ⋮ Hypersymplectic structures on Courant algebroids ⋮ Almost analyticity on almost (para) complex Lie algebroids

Cites Work

• Compatible structures on Lie algebroids and Monge-Ampère operators
• Quasi-Lie bialgebroids and twisted Poisson manifolds
• Lie algebroids and homological vector fields
• Hyper-lie poisson structures

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