| dc.contributor.author |
Senyurt, Suleyman |
|
| dc.contributor.author |
Canli, Davut |
|
| dc.contributor.author |
Can, Elif |
|
| dc.contributor.author |
Mazlum, Sumeyye Gur |
|
| dc.date.accessioned |
2024-03-18T11:04:05Z |
|
| dc.date.available |
2024-03-18T11:04:05Z |
|
| dc.date.issued |
2023 |
|
| dc.identifier.citation |
Senyurt, S., Canli, D., Çan, E., Mazlum, SG. (2023). ANOTHER APPLICATION OF SMARANDACHE BASED RULED SURFACES WITH THE DARBOUX VECTOR ACCORDING TO FRENET FRAME IN E3. Commun. Fac. Sci. Univ. Ank.-Ser, A1 Math. Stat, 72(4), 880-906. https://doi.org/10.31801/cfsuasmas.1151064 |
en_US |
| dc.identifier.issn |
1303-5991 |
|
| dc.identifier.uri |
http://dx.doi.org/10.31801/cfsuasmas.1151064 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:001129906700008 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4718 |
|
| 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 first define the Smarandache curves derived from the Frenet vectors and the Darboux vector of any curve. Then, we construct new ruled surfaces along these Smarandache curves with the direction vec-tors obtained from the Frenet vectors and the Darboux vector, and give the equations of these surfaces. In addition, we calculate the Gaussian and mean curvatures of these surfaces separately and present the conditions to be min-imal and developable for these surfaces. Finally, as an example, we obtain ruled surfaces whose base curves are Viviani's curves and plot the graphics of these surfaces. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
ANKARA UNIV, FAC SCI-ANKARA |
en_US |
| dc.relation.isversionof |
10.31801/cfsuasmas.1151064 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Smarandache curve, ruled surfaces, mean curvature, Gaussian curvature, Viviani's curve |
en_US |
| dc.subject |
HELICES |
en_US |
| dc.title |
ANOTHER APPLICATION OF SMARANDACHE BASED RULED SURFACES WITH THE DARBOUX VECTOR ACCORDING TO FRENET FRAME IN E3 |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.identifier.volume |
72 |
en_US |
| dc.identifier.issue |
4 |
en_US |
| dc.identifier.startpage |
880 |
en_US |
| dc.identifier.endpage |
906 |
en_US |