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arXiv · 1607.07562

Weierstrass-Enneper representation for Maximal Surfaces in Hodographic coordinates

Rahul Kumar Singh
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Abstract

We obtain the Weierstrass-Enneper representation for maximal graphs(whose Gauss map is one-one) in Lorentz-Minkowski space. For this we use the method of Barbishov and Chernikov, which they have used to find the solutions of Born-Infeld equation in hodographic coordinates. We could use their method in our case, because we realized that the maximal surface equation and Born-Infeld equation are related via a wick rotation in the first variable of the parametrising domain.

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Rahul Kumar Singh. 2016-07-26. Weierstrass-Enneper representation for Maximal Surfaces in Hodographic coordinates. https://arxiv.org/abs/1607.07562

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