Projective structures with discrete holonomy representations

Details Projective structures with discrete holonomy representations Projective structures with discrete holonomy representations

1995-08-14

arxiv.org/abs/math/9508214v1

Mathematics

Differential Geometry

Scientific paper

Let $K(X)$ denote the set of projective structures on a compact Riemann surface $X$ whose holonomy representations are discrete. We will show that each component of the interior of $K(X)$ is holomorphically equivalent to a complex submanifold of the product of Teichm\"uller spaces and the holonomy representation of every projective structure in the interior of $K(X)$ is a quasifuchsian group.

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