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“Minimal Surfaces in ℍ2 × ℝ”

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An Erratum to this article was published on 09 November 2007

Abstract

In ℍ2 × ℝ” one has catenoids, helicoids and Scherk-type surfaces. A Jenkins-Serrin type theorem holds here. Moreover there exist complete minimal graphs in ℍ2 with arbitrary continuous asymptotic values. Finally, a graph on a domain of ℍ2 cannot have an isolated singularity.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universitá di L’Aquila, via Vetoio - Loc. Coppito, 67010, L’Aquila, Italy

    Barbara Nelli

  2. Institut de Mathématiques, 2, Place Jussieu, 75005, Paris, France

    Harold Rosenberg

Authors
  1. Barbara Nelli
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  2. Harold Rosenberg
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Correspondence to Barbara Nelli.

Additional information

Dedicated to IMPA on the occasion of its 50 th anniversary

An erratum to this article is available at http://dx.doi.org/10.1007/BF03259375.

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Nelli, B., Rosenberg, H. “Minimal Surfaces in ℍ2 × ℝ”. Bull Braz Math Soc 33, 263–292 (2002). https://doi.org/10.1007/s005740200013

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  • DOI: https://doi.org/10.1007/s005740200013

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