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

Alexandre C. Goncalves·Karen K. Uhlenbeck
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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.

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Alexandre C. Goncalves, Karen K. Uhlenbeck. 2006-11-09. Moduli space theory for constant mean curvature surfaces immersed in space-forms. https://arxiv.org/abs/math/0611295

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