Geometry of pseudo-non-degenerate two-ruled hypersurfaces
Differential Geometry
2026-03-05 v1
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.
Keywords
Cite
@article{arxiv.2603.03382,
title = {Geometry of pseudo-non-degenerate two-ruled hypersurfaces},
author = {Junzhen Li and Kentaro Saji},
journal= {arXiv preprint arXiv:2603.03382},
year = {2026}
}
Comments
19 pages