In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz–Minkowski space L3, using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in L3 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).
Enneper representation of minimal surfaces in the three-dimensional Lorentz–Minkowski space
Onnis, Irene I.
2018-01-01
Abstract
In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz–Minkowski space L3, using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in L3 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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