Open Access
VOL. 13 | 2012 On the Involutive B-Scrolls in the Euclidean Three-Space $\mathbb{E}^3$
Seyda Kilicoglu

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Geom. Integrability & Quantization, 2012: 205-214 (2012) DOI: 10.7546/giq-13-2012-205-214

Abstract

Deriving curves based on the other curves like involute-evolute curves or Bertrant curves is an old subject in geometry. In this paper, we have defined a ruled surface based on the involute curve of a given curve which is called the involutive B-scroll. We introduced the positions of the involutive B-scroll and the B-scroll relative to each other.

Information

Published: 1 January 2012
First available in Project Euclid: 13 July 2015

zbMATH: 1382.53003
MathSciNet: MR3087972

Digital Object Identifier: 10.7546/giq-13-2012-205-214

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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