Induced hypersymplectic and hyperkähler structures on the dual of a Lie algebroid

DOI10.1142/S0219887814600305zbMath1319.53095OpenAlexW2001664902MaRDI QIDQ2929937

Joana M. Nunes da Costa, Paulo Antunes

Publication date: 17 November 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887814600305

zbMATH Keywords

hypersymplectichyper-Kähler Lie bialgebroid

Mathematics Subject Classification ID

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

Related Items

Hypersymplectic structures with torsion on Lie algebroids ⋮ Hypersymplectic structures on Courant algebroids

Cites Work

• Lie bialgebroids and Poisson groupoids
• HYPERSTRUCTURES ON LIE ALGEBROIDS
• Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D