Riemann Zero Mean Curvature Examples in Lorentz-Minkowski Space
Differential Geometry
2021-11-09 v2
Abstract
Riemann zero mean curvature examples in the Lorentz-Minkowski space are surfaces with zero mean curvature foliated by circles contained in parallel planes. In contrast to the Euclidean case, this family of surfaces presents new and rich features because of the variety of types of circles. In this paper, we give a geometric description of these examples when the circles are contained in spacelike planes and timelike planes.
Cite
@article{arxiv.1812.00589,
title = {Riemann Zero Mean Curvature Examples in Lorentz-Minkowski Space},
author = {Seher Kaya and Rafael López},
journal= {arXiv preprint arXiv:1812.00589},
year = {2021}
}
Comments
The title has been changed because now is more precise. Many of the proofs and arguments have been simplified. 23 pages, 8 figures