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arXiv · 1703.06738

Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space

Irene I. Onnis·Adriana A. Cintra
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Abstract

In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space $L^{3}$, using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in $L^{3}$ 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).

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Irene I. Onnis, Adriana A. Cintra. 2017-03-20. Enneper representation of minimal surfaces in the three-dimensional Lorentz-Minkowski space. https://arxiv.org/abs/1703.06738

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