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

Authors

  • Celina Contin Góes
  • M. Elisa
  • E.L. Galvão

DOI:

https://doi.org/10.1285/i15900932v18n1p43

Keywords:

Weierstrass type representation, Hyperbolic space, Hyperbolic Gauss map

Abstract

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.

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Published

01-01-1998

Issue

Volume 18, Issue 1 (1998)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode