A Property that Characterizes the Enneper Surface and Helix Surfaces

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2024年7月11日

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Pascual Lucas,
José Antonio Ortega-Yagües

摘要

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 $\mathbb {R}^{3}$ $R^{3}$ whose isogonal lines are generalized helices and pseudo-geodesic lines.