Weierstrass-Enneper representation for Maximal Surfaces in Hodographic coordinates
Differential Geometry
2017-03-16 v2 Mathematical Physics
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1607.07562,
title = {Weierstrass-Enneper representation for Maximal Surfaces in Hodographic coordinates},
author = {Rahul Kumar Singh},
journal= {arXiv preprint arXiv:1607.07562},
year = {2017}
}
Comments
9 pages, 0 figure, Additional Affiliation added