Special Helices on the Ellipsoid

Yıl 2019, Cilt: 2 Sayı: 2, 153 - 157, 25.11.2019

Zehra Özdemir

Öz

In this study, we investigate three types of special helices whose axis is a fixed constant Killing vector field on the Ellipsoid $% \mathbb{S}_{a_{1},a_{2},a_{3}}^{2}$ in $\mathbb{R}_{a_{1},a_{2},a_{3}}^{3}$. Then, we obtain the curvatures of all special helices on the ellipsoid $% \mathbb{S}_{a_{1},a_{2},a_{3}}^{2}$ and give some characterizations of these curves. Moreover, we present various examples and visualize their images using the Mathematica program.

Anahtar Kelimeler

Frame fields , Killing vector field , Special curves and surfaces.

Kaynakça

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