Helices on surfaces and their characterizations in galilean 3-space
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Abstract (EN)
In this thesis, k-type slant helices lying on a surface in Galilean 3-space G3 according to their Darboux frame for k=0,1,2 is defined. The necessary and sufficient conditions for curve lying on a surface to be a 0-type slant helix with non-isophotes axes in terms of their geodesic curvature $k_g$, normal curvature $k_n$, and geodesic torsion $\tau_g$ is obtained. Also, their axes are determined. Moreover, it is proved that there are no 1-type and 2-type slant helix in Galilean 3-space.
Author
Bahar Bıyıklı
How to Cite
Bahar Bıyıklı (Master Thesis). Helices on surfaces and their characterizations in galilean 3-space, 2021, Çankırı Karatekin Üniversitesi.
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