Framed slant helices in Euclidean 3-space

Abstract 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. Moreove...

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Autores principales:	Osman Zeki Okuyucu, Mevlüt Canbirdi
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Framed curves General helices Slant helices Spherical curves Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2fd9f0d1f2394cef94e77dae99ab88bf
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spelling	oai:doaj.org-article:2fd9f0d1f2394cef94e77dae99ab88bf2021-11-28T12:08:26ZFramed slant helices in Euclidean 3-space10.1186/s13662-021-03664-71687-1847https://doaj.org/article/2fd9f0d1f2394cef94e77dae99ab88bf2021-11-01T00:00:00Zhttps://doi.org/10.1186/s13662-021-03664-7https://doaj.org/toc/1687-1847Abstract 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.Osman Zeki OkuyucuMevlüt CanbirdiSpringerOpenarticleFramed curvesGeneral helicesSlant helicesSpherical curvesMathematicsQA1-939ENAdvances in Difference Equations, Vol 2021, Iss 1, Pp 1-14 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Framed curves General helices Slant helices Spherical curves Mathematics QA1-939
spellingShingle	Framed curves General helices Slant helices Spherical curves Mathematics QA1-939 Osman Zeki Okuyucu Mevlüt Canbirdi Framed slant helices in Euclidean 3-space
description	Abstract 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.
format	article
author	Osman Zeki Okuyucu Mevlüt Canbirdi
author_facet	Osman Zeki Okuyucu Mevlüt Canbirdi
author_sort	Osman Zeki Okuyucu
title	Framed slant helices in Euclidean 3-space
title_short	Framed slant helices in Euclidean 3-space
title_full	Framed slant helices in Euclidean 3-space
title_fullStr	Framed slant helices in Euclidean 3-space
title_full_unstemmed	Framed slant helices in Euclidean 3-space
title_sort	framed slant helices in euclidean 3-space
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/2fd9f0d1f2394cef94e77dae99ab88bf
work_keys_str_mv	AT osmanzekiokuyucu framedslanthelicesineuclidean3space AT mevlutcanbirdi framedslanthelicesineuclidean3space
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Framed slant helices in Euclidean 3-space

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