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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.03382 |
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| _version_ | 1866911483532673024 |
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| author | Li, Junzhen Saji, Kentaro |
| author_facet | Li, Junzhen Saji, Kentaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03382 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometry of pseudo-non-degenerate two-ruled hypersurfaces Li, Junzhen Saji, Kentaro Differential Geometry 57R45, 53A07, 53A25 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. |
| title | Geometry of pseudo-non-degenerate two-ruled hypersurfaces |
| topic | Differential Geometry 57R45, 53A07, 53A25 |
| url | https://arxiv.org/abs/2603.03382 |