Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space
Differential Geometry
2017-03-21 v1
Abstract
In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space , using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in constructed via the Enneper representation formula, that it is equivalent to the Weierstrass representation obtained by Kobayashi (for spacelike immersions) and by Konderak (for the timelike ones).
Keywords
Cite
@article{arxiv.1703.06738,
title = {Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space},
author = {Irene I. Onnis and Adriana A. Cintra},
journal= {arXiv preprint arXiv:1703.06738},
year = {2017}
}
Comments
17 pages, 9 figures