A New Approach on Curves of Constant Precession

2013/11/19 by Beyhan Uzunoğlu, Uzunoglu, Beyhan, İsmai̇l Gök +3
Computer Science · Engineering · #3D Shape Modeling and Analysis #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1311.4730

openalex publication_date 2013/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate a curve whose spherical image the tangent indicatrix and binormal indicatrix is slant helix and called it as a slant helix. We obtain that the spherical images are spherical slant helices defined by [3]. This notation is a generalization of a slant helix. Furthermore, we have given some characterizations for the slant helix and we show that a curve of constant precession is a slant helix.

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