Communications in Analysis and Geometry

Volume 15 (2007)

Number 2

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

Pages: 299 – 305

DOI: http://dx.doi.org/10.4310/CAG.2007.v15.n2.a4

Authors

Alexandre Gonçalves

Karen Uhlenbeck

Abstract

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.

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