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Flat surfaces in the hyperbolic 3-space

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Abstract.

In this paper we give a conformal representation of flat surfaces in the hyperbolic 3-space using the complex structure induced by its second fundamental form. We also study some examples and the behaviour at infinity of complete flat ends.

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Authors and Affiliations

  1. Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, E-18071 Granada, Spain (e-mails: jagalvez@goliat.ugr.es, amartine@goliat.ugr.es, fmilan@goliat.ugr.es) , , , , , , ES

    José A. Gálvez, Antonio Martínez & Francisco Milán

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  1. José A. Gálvez
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  2. Antonio Martínez
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  3. Francisco Milán
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Received: 18 September 1997

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Gálvez, J., Martínez, A. & Milán, F. Flat surfaces in the hyperbolic 3-space. Math Ann 316, 419–435 (2000). https://doi.org/10.1007/s002080050337

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  • DOI: https://doi.org/10.1007/s002080050337

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