Acta Mathematica Sinica

, Volume 22, Issue 6, pp 1603–1612

A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ


DOI: 10.1007/s10114-005-0637-y

Cite this article as:
Mercuri, F., Montaldo, S. & Piu, P. Acta Math Sinica (2006) 22: 1603. doi:10.1007/s10114-005-0637-y


We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line.


Minimal immersionsWeierstrass representationHeisenberg groupHyperbolic space

MR (2000) Subject Classification


Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Francesco Mercuri
    • 1
  • Stefano Montaldo
    • 2
  • Paola Piu
    • 2
  1. 1.Departamento de MatematicaC.P. 6065, IMECC, UNICAMPCampinas, SPBrazil
  2. 2.Università degli Studi di CagliariDipartimento di MatematicaCagliari