Complete Constant Mean Curvature surfaces in homogeneous spaces

2009/03/13 by José M. Espinar, Espinar, Jose M., Harold Rosenberg +1 · 2 citations
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Differential Geometry Research

paper · pdf · doi:10.48550/arxiv.0903.2439

Abstract

In this paper we classify complete surfaces of constant mean curvature whose Gaussian curvature does not change sign in a simply connected homogeneous manifold with a 4-dimensional isometry group.

Cited by

• Uniqueness of the Bonnet problem in Thurston geometries
• Isometric immersions into three-dimensional unimodular metric Lie groups

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