“Minimal Surfaces in ℍ2 × ℝ”

Article

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.

Keywords

minimal graph hyperbolic plane 

Mathematical subject classification

53A10 

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Copyright information

© Sociedade Brasileira de Matemática 2002

Authors and Affiliations

  1. 1.Dipartimento di MatematicaUniversitá di L’AquilaL’AquilaItaly
  2. 2.Institut de MathématiquesParisFrance

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