Mathematika

Research Article

Complex length coordinates for quasi-fuchsian groups

Christos Kourouniotisa1

a1 Department of Mathematics, University of Crete, Iraklio, Crete, Greece.

Deformation spaces of quasi-Fuchsian groups provide the simplest nontrivial examples of deformation spaces of Kleinian groups. Their understanding is of interest with respect to the study of more general Kleinian groups. On the other hand, these spaces contain subspaces isomorphic to Teichmüller spaces, and are often useful for the study of properties of Teichmüller space. A recent example of this is the study of the Teichmüller space of the punctured torus by Keen and Series [KS].

(Received May 25 1992)

Key Words:

  • 30F40: FUNCTIONS OF A COMPLEX VARIABLE; Riemann Surfaces; Kleinian groups.