Maximal translation surfaces in Lorentz-Minkowski space
Differential Geometry
2025-07-21 v1
Abstract
A translation surface in Lorentz-Minkowski space is a surface defined as the sum of two spatial curves. In this paper we present a classification of maximal surfaces of translation type. We prove that if a generating curve is planar, then the other generating curve is also planar. We give a full description of these surfaces. In case that both curves are of Frenet type, we generalize the Scherk surfaces. In case that a curve is a pseudo-null curve, we obtain new examples of maximal surfaces which have not counterparts in Euclidean space.
Cite
@article{arxiv.2507.14103,
title = {Maximal translation surfaces in Lorentz-Minkowski space},
author = {Rafael López},
journal= {arXiv preprint arXiv:2507.14103},
year = {2025}
}