| Autor: |
ȘENYURT, Süleyman, CANLI, Davut, ÇAN, Elif, GÜR MAZLUM, Ümeyye |
| Předmět: |
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| Zdroj: |
Communications Series A1 Mathematics & Statistics; 2023, Vol. 72 Issue 4, p880-906, 27p |
| Abstrakt: |
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 vectors 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 minimal 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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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