The subject of this paper is to give a Weierstrass type representation for mean curvature one surfaces in the hyperbolic 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 construct with this representation.

A Weierstrass Type Representation for Surfaces in Hyperbolic Space with Mean Curvature One

NELLI, BARBARA;
1998-01-01

Abstract

The subject of this paper is to give a Weierstrass type representation for mean curvature one surfaces in the hyperbolic 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 construct with this representation.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/22051
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