Focal surfaces of fronts associated to unbounded principal curvatures
Differential Geometry
2022-10-13 v1
Abstract
We study focal surfaces of (wave) fronts associated to unbounded principal curvatures near non-degenerate singular points of initial fronts. We give characterizations of singularities of those focal surfaces in terms of types of singularities and geometrical properties of initial fronts. Moreover, we investigate behavior of the Gaussian curvature of the focal surface.
Keywords
Cite
@article{arxiv.2210.06221,
title = {Focal surfaces of fronts associated to unbounded principal curvatures},
author = {Keisuke Teramoto},
journal= {arXiv preprint arXiv:2210.06221},
year = {2022}
}
Comments
21 pages, 11 figures