A SURVEY ON COSYMPLECTIC GEOMETRY | Reviews in Mathematical Physics World
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In this paper, we apply the geometric Hamilton–Jacobi theory to obtain solutions of classical
hamiltonian systems that are either compatible with a cosymplectic or a contact structure. As …

Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold–
Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds …

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 …

In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic
structures. In this paper, we present the limitations of this theory in the application of the …

This paper is an introduction to cosymplectic topology. Through it, we study the structures of
the group of cosymplectic diffeomorphisms and the group of almost cosymplectic …

Classical energy-momentum methods study the existence and stability properties of
solutions of t-dependent Hamilton equations on symplectic manifolds whose evolution is …

In this paper, we apply the geometric Hamilton--Jacobi theory to obtain solutions of
Hamiltonian systems in Classical Mechanics, that are either compatible with a cosymplectic …

We consider Noether symmetries within Hamiltonian setting as transformations that preserve
Poincar\'e-Cartan form, ie, as symmetries of characteristic line bundles of nondegenerate 1 …

The purpose of this study is to introduce the (almost) cosymplectic Hom–Lie algebras and to
show that these Hom–Lie algebras and symplectic Hom–Lie algebras are related to each …