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arXiv · 1902.04016

The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem

Rafael López
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Abstract

In this paper we generalize in Lorentz-Minkowski space $\l^3$ 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 $\l^3$ invariant by a uniparametric group of translations and rotations.

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Rafael López. 2019-02-11. The two-dimensional analogue of the Lorentzian catenary and the Dirichlet problem. https://arxiv.org/abs/1902.04016

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