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VOL. 78 | 2018 Rectifying developable surfaces of framed base curves and framed helices
Shun'ichi Honda

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

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

Rights: Copyright © 2018 Mathematical Society of Japan

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