Bi-Lagrangian structure on the symplectic affine Lie algebra of \(\mathbb{R}^2\)

DOI10.7546/jgsp-56-2020-45-57zbMath1458.53080OpenAlexW3102827928MaRDI QIDQ2226012

Omar Bouzour, Mohammed Wadia Mansouri

Publication date: 11 February 2021

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

Full work available at URL: https://projecteuclid.org/euclid.jgsp/1606100415

zbMATH Keywords

symplectic Lie algebraLagrangian subalgebraaffine Lie algebrasymplectic connection

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05)

Related Items (max. 100)

Eight-dimensional symplectic non-solvable Lie algebras ⋮ The classification of left-invariant para-Kähler structures on simply connected four-dimensional Lie groups

Cites Work

• A complete classification of four-dimensional para-Kähler Lie algebras
• Structure of symplectic Lie groups and momentum map
• On Lie groups with left-invariant symplectic or Kählerian structures
• Lectures on geometric quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• Radical d'une algèbre symétrique à gauche
• The affine group as symplectic manifold
• On para-Kähler and hyper-para-Kähler Lie algebras
• Bi-Lagrangian structures on nilmanifolds
• The geometry of a bi-Lagrangian manifold
• Uniqueness of left invariant symplectic structures on the affine Lie group
• Symplectic Homogeneous Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bi-Lagrangian structure on the symplectic affine Lie algebra of \(\mathbb{R}^2\)