Framed slant helices in Euclidean 3-space

In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve. Also, we examine the relations between a framed slant helix and its spherical images. Moreover, we giv...

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Veröffentlicht in:	Advances in difference equations 2021-11, Vol.2021 (1), p.1-14, Article 504
Hauptverfasser:	Okuyucu, Osman Zeki, Canbirdi, Mevlüt
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Difference and Functional Equations Difference Equations Euclidean geometry Euclidean space Framed curves Functional Analysis General helices Helices Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Slant helices Special Functions and Orthogonal Polynomials Spherical curves
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Beschreibung
Zusammenfassung:	In this paper, we define framed slant helices and give a necessary and sufficient condition for them in three-dimensional Euclidean space. Then, we introduce the spherical images of a framed curve. Also, we examine the relations between a framed slant helix and its spherical images. Moreover, we give an example of a framed slant helix and its spherical images with figures.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03664-7