A property that characterizes the Enneper surface and helix surfaces
Differential Geometry
2026-01-28 v1
Abstract
The main goal of this paper is to show that helix surfaces and the Enneper surface are the only surfaces in the 3-dimensional Euclidean space whose isogonal lines are generalized helices and pseudo-geodesic lines.
Keywords
Cite
@article{arxiv.2601.19253,
title = {A property that characterizes the Enneper surface and helix surfaces},
author = {Pascual Lucas and José Antonio Ortega-Yagües},
journal= {arXiv preprint arXiv:2601.19253},
year = {2026}
}