ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME

Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4790

Title:	ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME
Authors:	Eren, Kemal Ayvaci, Kebire Hilal Senyurt, Suleyman Ordu Üniversitesi 0000-0001-5273-7897
Keywords:	Flc frame, polynomial curve, spherical curve, the axis of curvature, osculating sphere EXPLICIT CHARACTERIZATION
Issue Date:	2022
Publisher:	HONAM MATHEMATICAL SOC-GWANGJU
Citation:	Eren, K., Ayvaci, KH., Senyurt, S. (2022). ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME. Honam Math. J., 44(3), 391-401. https://doi.org/10.5831/HMJ.2022.44.3.391
Abstract:	In this study, we investigate the explicit characterization of spherical curves using the Flc (Frenet like curve) frame in Euclidean 3-space. Firstly, the axis of curvature and the osculating sphere of a polynomial space curve are calculated using Flc frame invariants. It is then shown that the axis of curvature is on a straight line. The position vector of a spherical curve is expressed with curvatures connected to the Flc frame. Finally, a differential equation is obtained from the third order, which characterizes a spherical curve.
Description:	WoS Categories: Mathematics Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Mathematics
URI:	http://dx.doi.org/10.5831/HMJ.2022.44.3.391 https://www.webofscience.com/wos/woscc/full-record/WOS:000890292100007 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4790
ISSN:	1225-293X 2288-6176
Appears in Collections:	Matematik

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