A new approach on curves of constant precession

Beyhan Uzunoğlu, İsmail Gök and Yusuf Yaylı

Applied Mathematics and Computation, 2016, vol. 275, issue C, 317-323

Abstract: In this paper, we investigate a curve whose spherical images (the tangent indicatrix and binormal indicatrix) are spherical slant helices and called it as a C−slant helix. This notation is a generalization of a slant helix and special case of k-slant helix defined by Ali (2012) . We obtain the axis of the curve and Theorem (3.5) via the alternative moving frame and the Sabban frame, respectively. Furthermore, we give some new characterizations of the C-slant helix and prove that a curve of C-constant precession is a C-slant helix.

Keywords: Slant helix; A curve of constant precession; Spherical indicatrix (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:317-323

DOI: 10.1016/j.amc.2015.11.083

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