arXiv Analytics

Sign in

arXiv:1910.06765 [math-ph]AbstractReferencesReviewsResources

Characterization, global analysis and integrability of a family of Poisson structures

Benito Hernández-Bermejo

Published 2019-10-13Version 1

An n-dimensional solution family of the Jacobi equations is characterized and investigated, including the global determination of its main features: the Casimir invariants, the construction of the Darboux canonical form and the proof of integrability for the related Poisson systems. Examples are given and include novel Poisson formulations.

Comments: arXiv admin note: text overlap with arXiv:1910.05141
Journal: Physics Letters A 372(7), 1009-1017 (2008)
Categories: math-ph, math.MP, math.SG, nlin.SI
Related articles: Most relevant | Search more
arXiv:1910.05141 [math-ph] (Published 2019-10-10)
Characterization and global analysis of a family of Poisson structures
arXiv:2108.01954 [math-ph] (Published 2021-08-04)
Tilings with nonflat squares: a characterization
arXiv:1206.2602 [math-ph] (Published 2012-06-12)
A new proof for the Banach-Zarecki theorem: A light on integrability and continuity