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arXiv · 2601.19253

A property that characterizes the Enneper surface and helix surfaces

Pascual Lucas·José Antonio Ortega-Yagües
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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 $R^3$ whose isogonal lines are generalized helices and pseudo-geodesic lines.

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Pascual Lucas, José Antonio Ortega-Yagües. 2026-01-27. A property that characterizes the Enneper surface and helix surfaces. https://doi.org/10.1007/s00009-024-02697-y

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