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2019 Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold
Alina Dobrogowska, Grzegorz Jakimowicz, Karolina Wojciechowicz
J. Geom. Symmetry Phys. 52(none): 47-66 (2019). DOI: 10.7546/jgsp-52-2019-47-66

Abstract

In the case when $M$ is equipped with a bi-Hamiltonian structure $(M,\pi_1, \pi_2)$ we show how to construct family of Poisson structures on the tangent bundle $TM$ to a Poisson manifold. Moreover we present how to find Casimir functions for those structures and we discuss some particular examples.

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Alina Dobrogowska. Grzegorz Jakimowicz. Karolina Wojciechowicz. "Bi-Hamiltonian Structures on the Tangent Bundle to a Poisson Manifold." J. Geom. Symmetry Phys. 52 47 - 66, 2019. https://doi.org/10.7546/jgsp-52-2019-47-66

Information

Published: 2019
First available in Project Euclid: 26 July 2019

zbMATH: 1423.53100
MathSciNet: MR3931270
Digital Object Identifier: 10.7546/jgsp-52-2019-47-66

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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