Moduli space theory for constant mean curvature surfaces immersed in space-forms

In this short article we describe a local parametrization of the space of solutions of the Gauss-Coddazzi equations for constant mean curvature immersions of a Riemann surface into space-forms in codimension 1. The parameter space are cohomology classes of the holomorphic tangent bundle of the surface.

Full Text (PDF format)

Published 1 January 2007