Abstract
We study the topological configurations of the lines of principal curvature, the asymptotic and characteristic curves on a cuspidal edge, in the domain of a parametrization of this surface as well as on the surface itself. Such configurations are determined by the 3-jets of a parametrization of the surface.
Information
Published: 1 January 2018
First available in Project Euclid: 4 October 2018
zbMATH: 07085114
MathSciNet: MR3839956
Digital Object Identifier: 10.2969/aspm/07810411
Subjects:
Primary:
53A05
,
58F14
Secondary:
34A09
,
53C03
,
58F10
,
58F18
,
58K05
Keywords:
cuspidal edge
,
lines of curvature
,
principal configuration
Rights: Copyright © 2018 Mathematical Society of Japan
