
Papers  Hopf surfaces 



Hopf surfaces: locally conformal Kähler metrics and foliations
Abstract
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 2dimensional foliation
E_{α,β} that is shown to be independent of the metric, I
prove with
elementary tools
that E_{α,β} has compact leaves
if and only if α^{m}=β^{n}
for some integers m and n, namely in the
elliptic case. In this case I prove that the leaves of
E_{α,β}
give explicitly the elliptic fibration, and describe
the natural orbifold
structure on the leaf space.






