Open AccessGeneralized Polarized Manifolds
Author(s) -
Azzouz Awane
Publication year - 2008
Publication title -
revista matemática complutense
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.093
H-Index - 24
eISSN - 1696-8220
pISSN - 1139-1138
DOI - 10.5209/rev_rema.2008.v21.n1.16465
Subject(s) - poisson distribution , hamiltonian (control theory) , mathematics , pure mathematics , dimension (graph theory) , poisson algebra , mathematical analysis , poisson bracket , mathematical optimization , statistics , lie algebra
We introduce and develop the notion of generalized Poisson manifolds and ana lyze their main properties. Several generalized Hamiltonian maps for polarized Poisson manifolds and vectorial Hamiltonian maps for systems in dimension smaller or equal than 4 are given.We introduce and develop the notion of generalized Poisson manifolds and analyze their main properties. Several generalized Hamiltonian maps for polarized Poisson manifolds and vectorial Hamiltonian maps for systems in dimension smaller or equal than 4 are given