The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem
Differential Geometry
2019-12-18 v2
Abstract
In this paper we generalize in Lorentz-Minkowski space the two-dimensional analogue of the catenary of Euclidean space. We solve the Dirichlet problem for bounded mean convex domains and spacelike boundary data that have a spacelike extension to the domain. We also classify all singular maximal surfaces of invariant by a uniparametric group of translations and rotations.
Keywords
Cite
@article{arxiv.1902.04016,
title = {The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem},
author = {Rafael López},
journal= {arXiv preprint arXiv:1902.04016},
year = {2019}
}
Comments
31 pages, 4 figures