Cuspidal edges on focal surfaces of regular surfaces
Differential Geometry
2026-05-19 v3
Abstract
We investigate geometric invariants of cuspidal edges on focal surfaces of regular surface. In particular, we shall clarify the sign of the singular curvature at a cuspidal edge on a focal surface using singularities of parallel surface of a given surface satisfying certain conditions.
Keywords
Cite
@article{arxiv.2509.00860,
title = {Cuspidal edges on focal surfaces of regular surfaces},
author = {Keisuke Teramoto},
journal= {arXiv preprint arXiv:2509.00860},
year = {2026}
}
Comments
13 pages, 9 figures