Bulletin of the Brazilian Mathematical Society

, Volume 33, Issue 2, pp 263–292

“Minimal Surfaces in ℍ2 × ℝ”

Article

DOI: 10.1007/s005740200013

Cite this article as:
Nelli, B. & Rosenberg, H. Bull Braz Math Soc (2002) 33: 263. doi:10.1007/s005740200013

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 graphhyperbolic plane

Mathematical subject classification

53A10

Copyright information

© Sociedade Brasileira de Matemática 2002

Authors and Affiliations

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