Department of Mathematics, Tokyo Institute of Technology, Tokyo 152 Japan ; Graduate School of Polymathematics, Nagoya University, Nagoya 464-01 Japan
Abstract:
Let denote the set of projective structures on a compact Riemann surface whose holonomy representations are discrete. We will show that each component of the interior of is holomorphically equivalent to a complex submanifold of the product of Teichmüller spaces and the holonomy representation of every projective structure in the interior of is a quasifuchsian group.