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

2006/11/09 by Alexandre C. Gonçalves, Alexandre C. Goncalves, Goncalves, Alexandre C. +3
Computer Science · Engineering · Mathematics · #34A10 #53C12 #53C42 #58E12 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:34A10 #msc:53C12 #msc:53C42 #msc:58E12

paper · pdf · doi:10.48550/arxiv.math/0611295

5 pages

arxiv created 2006/11/09 · openalex publication_date 2006/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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