  In this article we provide a Hamilton-Jacobi formalism in locally conformally
symplectic manifolds. Our interest in the Hamilton-Jacobi theory comes from the
suitability of this theory as an integration method for dynamical systems,
whilst our interest in the locally conformal character will account for
physical theories described by Hamiltonians defined on well-behaved line
bundles, whose dynamic takes place in open subsets of the general manifold. We
present a local l.c.s. Hamilton-Jacobi in subsets of the general manifold, and
then provide a global view by using the Lichnerowicz-deRham differential. We
show a comparison between the global and local description of a l.c.s.
Hamilton--Jacobi theory, and how actually the local behavior can be glued to
retrieve the global behavior of the Hamilton-Jacobi theory.
