Weierstrass Representation for Minimal Surfaces into BCV-Spaces

Authors

  • M. Koivogui Institut de Mathématiques et de Sciences Physiques, B.P. 613, Porto-Novo, Bénin
  • L. Todjihounde Institut de Mathématiques et de Sciences Physiques, B.P. 613, Porto-Novo, Bénin
  • M. Kourouma Ufr de Mathématiques et informatique, Université de cocody, Cí´te d'Ivoire

DOI:

https://doi.org/10.26713/cma.v4i1.156

Keywords:

Weierstrass representation, Minimal surfaces, BCV-spaces

Abstract

Bianchi-Cartan-Vranceanu spaces (BCV-spaces) are some 3-dimensional homogeneous manifolds equiped with a metric depending on 2 parameters $\kappa$ and $\tau$, and whose isometries groups are of dimension four. In this paper, we describe a Weierstrass-type representation formula for simply connected minimal surfaces immersed into BCV-spaces.
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Issue

Vol. 4 No. 1 (2013)

Section

Research Article

License

Creative Commons Licence 4.0 by

How to Cite

Koivogui, M., Todjihounde, L., & Kourouma, M. (2013). Weierstrass Representation for Minimal Surfaces into BCV-Spaces. Communications in Mathematics and Applications, 4(1), 1-10. https://doi.org/10.26713/cma.v4i1.156