The geometry of fronts
Differential Geometry
2007-05-23 v4
Abstract
We shall introduce the singular curvature function on cuspidal edges of surfaces, which is related to the Gauss-Bonnet formula and which characterizes the shape of cuspidal edges. Moreover, it is closely related to the behavior of the Gaussian curvature of a surface near cuspidal edges and swallowtails.
Cite
@article{arxiv.math/0503236,
title = {The geometry of fronts},
author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:math/0503236},
year = {2007}
}
Comments
30 pages with 6 figures