Abstract
We study the rectifying developable surface of a framed base curve and a framed helix in the Euclidean space. A framed base curve is a smooth curve with a moving frame which may have singular points. By using the curvature of a framed base curve, we investigate the rectifying developable surface and a framed helix. Moreover, we introduce two new invariants of a framed base curve, which characterize singularities of the rectifying developable surface and a framed helix.
Information
Published: 1 January 2018
First available in Project Euclid: 4 October 2018
zbMATH: 1421.53006
MathSciNet: MR3839949
Digital Object Identifier: 10.2969/aspm/07810273
Subjects:
Primary:
53A05
Secondary:
53A04
,
58K05
Keywords:
Framed base curve
,
framed helix
,
rectifying developable surface
,
singularities
Rights: Copyright © 2018 Mathematical Society of Japan
