TY  - JOUR
T1  - Special Helices on the Ellipsoid
AU  - Özdemir, Zehra
PY  - 2019
DA  - November
Y2  - 2019
JF  - Conference Proceedings of Science and Technology
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2651-544X
SP  - 153
EP  - 157
VL  - 2
IS  - 2
LA  - en
AB  - 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.
KW  - Frame fields
KW  - Killing vector field
KW  - Special curves and surfaces.
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UR  - https://dergipark.org.tr/tr/pub/cpost/issue//610820
L1  - https://dergipark.org.tr/tr/download/article-file/861578
ER  -