On the Gaussian Curvature of Constant Mean Curvature Surfaces in Space Forms

Abstract

In this paper we study the behavior of the Gaussian curvature K of a complete surface immersed with constant mean curvature into a 3-dimensional Riemannian space form of constant curvature, deriving some estimates for the infimum and the supremum of K. Using an alternative approach, we also extend our study to the case of higher dimensional hypersurfaces in… (More)

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Cite this paper

@inproceedings{ALAS2009OnTG, title={On the Gaussian Curvature of Constant Mean Curvature Surfaces in Space Forms}, author={LUIS J. AL{\'I}AS and Carolina Garc{\'i}a-Mart{\'i}nez}, year={2009} }