| dc.contributor.author |
Senyurt, Suleyman |
|
| dc.contributor.author |
Ayvaci, Kebire Hilal |
|
| dc.contributor.author |
Canli, Davut |
|
| dc.date.accessioned |
2024-03-15T08:48:55Z |
|
| dc.date.available |
2024-03-15T08:48:55Z |
|
| dc.date.issued |
2022 |
|
| dc.identifier.citation |
Senyurt, S., Ayvaci, KH., Canli, D. (2022). Family of Surfaces with a Common Special Involute and Evolute Curves. Int. Electron. J. Geom., 15(1), 160-174. https://doi.org/10.36890/IEJG.932757 |
en_US |
| dc.identifier.issn |
1307-5624 |
|
| dc.identifier.uri |
http://dx.doi.org/10.36890/IEJG.932757 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000795585200017 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4365 |
|
| 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 paper we define the necessary and sufficient conditions for both the involute and evolute of a given curve to be geodesic, asymptotic and curvature line on a parametric surface. Then, the first and second fundamental forms of these surfaces are calculated. By using the Gaussian and mean curvatures, the developability and minimality assumptions are drawn, as well. Moreover we extended the idea to the ruled surfaces. Finally, we provide a set of examples to illustrate the corresponding surfaces. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
INT ELECTRONIC JOURNAL GEOMETRY-ANKARA |
en_US |
| dc.relation.isversionof |
10.36890/IEJG.932757 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Geodesic curve, involue-evolute curves, asymptoticity, curvature line, ruled surfaces |
en_US |
| dc.subject |
PARAMETRIC REPRESENTATION, PENCIL |
en_US |
| dc.title |
Family of Surfaces with a Common Special Involute and Evolute Curves |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0002-5114-5475 |
en_US |
| dc.contributor.authorID |
0000-0003-0405-9969 |
en_US |
| dc.contributor.authorID |
0000-0003-1097-5541 |
en_US |
| dc.identifier.volume |
15 |
en_US |
| dc.identifier.issue |
1 |
en_US |
| dc.identifier.startpage |
160 |
en_US |
| dc.identifier.endpage |
174 |
en_US |