Novità Didattica Ricerca Contatti
Papers - Hopf surfaces
pdf ps Hopf surfaces: locally conformal Kähler metrics and foliations

In this paper I describe a family of locally conformal Kähler metrics on class 1 Hopf surfaces. By studying some canonical foliations associated to these metrics, in particular a 2-dimensional foliation Eα,β that is shown to be independent of the metric, I prove with elementary tools that Eα,β has compact leaves if and only if αmn for some integers m and n, namely in the elliptic case. In this case I prove that the leaves of Eα,β give explicitly the elliptic fibration, and describe the natural orbifold structure on the leaf space.