Zero mean curvature surfaces in isotropic space with planar curvature lines
Differential Geometry
2024-10-28 v2
Abstract
We give a comprehensive account of zero mean curvature surfaces in isotropic 3-space with planar curvature lines. After giving a complete classification all such surfaces, we show that they belong to a 1-parameter family of surfaces. We then investigate their relationship to Thomsen-type surfaces in isotropic 3-space, those zero mean curvature surfaces in isotropic 3-space that are also affine minimal.
Keywords
Cite
@article{arxiv.2410.18728,
title = {Zero mean curvature surfaces in isotropic space with planar curvature lines},
author = {Joseph Cho and Masaya Hara},
journal= {arXiv preprint arXiv:2410.18728},
year = {2024}
}
Comments
25 pages, 6 figures