On the darboux axis in three dimensional lie groups
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Abstract (EN)
In this thesis, it has been shown that the motion of the Darboux rotation axis of a unit speed curve α in the 3-dimensional Lie group G with a bi-invariant metric is separated into two simultaneous rotation motions which are the tangent and normal vectors of curve rotating around each other with different angular speeds. Then, the series of Darboux vectors can be obtained in this way. Also, we give the definition of constant precession curves in the 3-dimensional Lie groups and give some characterizations about these curves.
Author
Gülay Erdal
How to Cite
Gülay Erdal (Master Thesis). On the darboux axis in three dimensional lie groups, 2022, Çankırı Karatekin Üniversitesi.
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