| dc.contributor.author |
Eren, Kemal |
|
| dc.contributor.author |
Ayvaci, Kebire Hilal |
|
| dc.contributor.author |
Senyurt, Suleyman |
|
| dc.date.accessioned |
2024-03-20T13:45:11Z |
|
| dc.date.available |
2024-03-20T13:45:11Z |
|
| dc.date.issued |
2022 |
|
| dc.identifier.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 |
en_US |
| dc.identifier.issn |
1225-293X |
|
| dc.identifier.issn |
2288-6176 |
|
| dc.identifier.uri |
http://dx.doi.org/10.5831/HMJ.2022.44.3.391 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000890292100007 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4790 |
|
| dc.description |
WoS Categories: Mathematics |
en_US |
| dc.description |
Web of Science Index: Emerging Sources Citation Index (ESCI) |
en_US |
| dc.description |
Research Areas: Mathematics |
en_US |
| dc.description.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. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
HONAM MATHEMATICAL SOC-GWANGJU |
en_US |
| dc.relation.isversionof |
10.5831/HMJ.2022.44.3.391 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Flc frame, polynomial curve, spherical curve, the axis of curvature, osculating sphere |
en_US |
| dc.subject |
EXPLICIT CHARACTERIZATION |
en_US |
| dc.title |
ON CHARACTERIZATIONS OF SPHERICAL CURVES USING FRENET LIKE CURVE FRAME |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
HONAM MATHEMATICAL JOURNAL |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0001-5273-7897 |
en_US |
| dc.identifier.volume |
44 |
en_US |
| dc.identifier.issue |
3 |
en_US |
| dc.identifier.startpage |
391 |
en_US |
| dc.identifier.endpage |
401 |
en_US |