A Weierstrass type representation for surfaces in hyperbolic space with mean curvature one


The subject of this paper is to give a Weierstrass type representation for mean curvature one surfaces in the hyperpolic space. This representation depends on the hyperbolic Gauss map. Some known examples are described and a new one, associated to the minimal Bonnet surface is constructed with this representation.

DOI Code: 10.1285/i15900932v18n1p43

Keywords: Weierstrass type representation; Hyperbolic space; Hyperbolic Gauss map

Classification: 53C42; 53A10

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