2020 Bi-Lagrangian Structure on the Symplectic Affine Lie Algebra $\frak{aff}(2,\mathbb{R})$
Omar Bouzour, Mohammed Wadia Mansouri
J. Geom. Symmetry Phys. 56: 45-57 (2020). DOI: 10.7546/jgsp-56-2020-45-57

Abstract

In this paper, we give a complete classification of Lagrangian and bi-Lagrangian subalgebras, up to an inner automorphism on $\frak{aff}(2,\mathbb{R})$, and compute the curvatures of some bi-Lagrangian structures.

Citation

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Omar Bouzour. Mohammed Wadia Mansouri. "Bi-Lagrangian Structure on the Symplectic Affine Lie Algebra $\frak{aff}(2,\mathbb{R})$." J. Geom. Symmetry Phys. 56 45 - 57, 2020. https://doi.org/10.7546/jgsp-56-2020-45-57

Information

Published: 2020
First available in Project Euclid: 23 November 2020

MathSciNet: MR4178372
Digital Object Identifier: 10.7546/jgsp-56-2020-45-57

Rights: Copyright © 2020 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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