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arXiv · 2603.03382

Geometry of pseudo-non-degenerate two-ruled hypersurfaces

Junzhen Li·Kentaro Saji
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Abstract

We investigate the singularities of two-ruled hypersurfaces in the Euclidean four-space. By considering the points that minimize the distance between adjacent rulings, we obtain a characterization the striction curve. We introduce the notion of pseudo-non-degenerate two-ruled hypersurfaces and examine their fundamental properties. We show that two-ruled hypersurfaces constructed from a curve equipped with a Frenet-type frame, via height functions, are pseudo-non-degenerate. Furthermore, we study properties of the original curve through the striction curves and the singularities of pseudo-non-degenerate two-ruled hypersurfaces constructed in this manner.

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Junzhen Li, Kentaro Saji. 2026-03-03. Geometry of pseudo-non-degenerate two-ruled hypersurfaces. https://arxiv.org/abs/2603.03382

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