@article{article_610820, title={Special Helices on the Ellipsoid}, journal={Conference Proceedings of Science and Technology}, volume={2}, pages={153–157}, year={2019}, author={Özdemir, Zehra}, keywords={Frame fields,Killing vector field,Special curves and surfaces.}, abstract={<p style="text-align:justify;"> <span style="font-size:14px;">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. </span> <br /> </p>}, number={2}, publisher={Murat TOSUN}