Moduli space theory for constant mean curvature surfaces immersed in space-forms
Differential Geometry
2007-05-23 v1
Abstract
A new method is presented for solving the Gauss-Codazzi equations for a compact Riemann surface to be immersed in a 3-manifold of constant curvature. In the negative curvature case, the moduli for such embeddings are cohomology classes of (0,2) forms.
Cite
@article{arxiv.math/0611295,
title = {Moduli space theory for constant mean curvature surfaces immersed in space-forms},
author = {Alexandre C. Goncalves and Karen K. Uhlenbeck},
journal= {arXiv preprint arXiv:math/0611295},
year = {2007}
}
Comments
5 pages