Kentaro Saji, Masaaki Umehara, Kotaro Yamada
Published 2005-03-13, updated 2006-12-09Version 4
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.
Comments: 30 pages with 6 figures
Geometric invariants of $5/2$-cuspidal edges
Geometry of cuspidal edges with boundary
On Gaussian curvatures and singularities of Gauss maps of cuspidal edges
![QR code for arXiv:math/0503236 [math.DG]](http://oss.arxitics.com/images/favicon.svg)