A property that characterizes the Enneper surface and helix surfaces
arXiv:2601.19253 · doi:10.1007/s00009-024-02697-y
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.