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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