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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4752| Title: | SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II |
| Authors: | Senyurt, Suleyman Canli, Davut Can, Elif Mazlum, Sumeyye Gur Ordu Üniversitesi 0000-0003-2471-1627 |
| Keywords: | Smarandache curve, ruled surfaces, mean curvature, Gaussian curvature, Viviani?s curve HELICES |
| Issue Date: | 2022 |
| Publisher: | HONAM MATHEMATICAL SOC-GWANGJU |
| Citation: | Senyurt, S., Canli, D., Can, E., Mazlum, SG. (2022). SOME SPECIAL SMARANDACHE RULED SURFACES BY FRENET FRAME IN E3-II. Honam Math. J., 44(4), 594-617. https://doi.org/10.5831/HMJ.2022.44.4.594 |
| Abstract: | In this study, firstly Smarandache ruled surfaces whose base curves are Smarandache curves derived from Frenet vectors of the curve, and whose direction vectors are unit vectors plotting Smarandache curves, are created. Then, the Gaussian and mean curvatures of the obtained ruled surfaces are calculated separately, and the conditions to be developable or minimal for the surfaces are given. Finally, the examples are given for each surface and the graphs of these surfaces are drawn. |
| Description: | WoS Categories: Mathematics Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Mathematics |
| URI: | http://dx.doi.org/10.5831/HMJ.2022.44.4.594 https://www.webofscience.com/wos/woscc/full-record/WOS:000932958000009 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4752 |
| ISSN: | 1225-293X 2288-6176 |
| Appears in Collections: | Matematik |
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