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A Hamilton–Jacobi Theory for general dynamical systems and integrability by quadratures in symplectic and Poisson manifolds
(Elsevier Science, 2016-12-01)
In this paper we develop, in a geometric framework, a Hamilton–Jacobi Theory for general dynamical systems. Such a theory contains the classical theory for Hamiltonian systems on a cotangent bundle and recent developments ...
Cohomological Aspects in Semilocal Poisson Geometry
(VELASCO BARRERAS, EDUARDO, 4351)
Forma normal de uma estrutura de Poisson
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2021-09-10)
The present work consists of an introduction to the Poisson manifold concept and the presentation of some of the main results regarding the normal form for this structure, based on the works of Jean-Paull Dufour and ...
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
(Springer, 2017-10-09)
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the Hamilton-Jacobi equation. We use some ...
Grupoides y algebroides dobles de Lie /
(2010)
En este trabajo demostramos que todo grupoide doble de Lie con acción medular propia esta completamente determinado por una factorización de un cierto grupoide de Lie diagonal canónicamente definido. Tambien, estudiamos ...
Geometric quantization of poisson manifolds via symplectic groupoids
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2019)
"La teoría de algebroides y grupoides de Lie es un marco conveniente para estudiar las propiedades de las variedades de Poisson. En este trabajo se aproxima el problema de cuantización geométrica de variedades de Poisson ...
Algebraic Structures, Physics and Geometry from a Unified Field Theoretical Framework
(Springer, 2015-10)
Starting from a Unified Field Theory (UFT) proposed previously by the author, the possible fermionic representations arising from the same spacetime are considered from the algebraic and geometrical viewpoint. We specifically ...
Special conformal groups of a Riemannian manifold and Lie point symmetries of the nonlinear Poisson equation
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2010)