Framed Curves and Their Applications Eased on a New Differential Equation

Yazici, Bahar Dogan; Karakus, Siddika Ozkaldi; Tosun, Murat

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dc.contributor.authors	Yazici, Bahar Dogan; Karakus, Siddika Ozkaldi; Tosun, Murat
dc.date.accessioned	2023-01-24T12:08:41Z
dc.date.available	2023-01-24T12:08:41Z
dc.date.issued	2022
dc.identifier.issn	1307-5624
dc.identifier.uri	http://dx.doi.org/10.36890/IEJG.875477
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99544
dc.description	Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya Üniversitesi Açık Bilim ve Açık Akademik Arşiv Yönergesi gereğince telif haklarına uygun olan nüsha açık akademik arşiv sistemine açık erişim olarak yüklenmiştir.
dc.description.abstract	Characterization is very important for non-regular curves in differential geometry. Recently, the concept of framed curve has been proposed to examine a non-regular curve. Framed curves are defined as smooth curves with a moving frame that can have singular points. In this paper, the differential equation is obtained by using distance squared functions for framed curves with for each p, q not equal 0 framed curvatures in Euclidean space. Next, we give the relationships between the differential equation and some special curves. Moreover we introduce a new equation of framed helices with the help of the differential equation. Moreover, these are supported by some examples and figures.
dc.language	English
dc.language.iso	eng
dc.publisher	INT ELECTRONIC JOURNAL GEOMETRY
dc.relation.isversionof	10.36890/IEJG.875477
dc.subject	Mathematics
dc.subject	Framed curves
dc.subject	framed spherical curves
dc.subject	framed helices
dc.subject	framed rectifying curves
dc.subject	singular points
dc.title	Framed Curves and Their Applications Eased on a New Differential Equation
dc.type	Article
dc.identifier.volume	15
dc.identifier.startpage	47
dc.identifier.endpage	56
dc.relation.journal	INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
dc.identifier.issue	1
dc.identifier.doi	10.36890/IEJG.875477
dc.contributor.author	Yazici, Bahar Dogan
dc.contributor.author	Karakus, Siddika Ozkaldi
dc.contributor.author	Tosun, Murat
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights.openaccessdesignations	Green Submitted