INFINITESIMAL SYMMETRIES OF HALL EFFECT ON RIEMANN SURFACES


Antonio L\'opez Almorox and Carlos Tejero Prieto

Key words: Hall effect, Calculus of variations, Poincar\'e-Cartan form,
        Symmetries, Riemann surfaces.

1991 Math. Subject Classification: 49S05, 53C80, 58D19, 70H33.

Abstract: The aim of this paper is to give a geometrical formulation
of Hall effect on Riemann surfaces. In our approach magnetic Hall
fields are characterized solely in terms of a given riemannian
metric. Infinitesimal symmetries and their associated Noether
invariants are explicitly computed in genus g using
the Poincar\'e-Cartan form.