Abstract
Abstract
Cosymplectic geometry has been proven to be a very useful geometric background to describe time-dependent Hamiltonian dynamics. In this work, we address the globalization problem of locally cosymplectic Hamiltonian dynamics that failed to be globally defined. We investigate both the geometry of locally conformally cosymplectic (LCC) manifolds and the Hamiltonian dynamics constructed on such LCC manifolds. Further, we provide a geometric Hamilton–Jacobi theory on this geometric framework.
Funder
Ministerio de Ciencia e Innovación
Severo Ochoa Programme for Centres of Excellence in R&D
Teoría de Aproximación Constructiva y Aplicaciones
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics