New characterizations of spacelike curves on timelike surfaces through the link of specific frames
Citation
Ünlütürk, Y. & Yılmaz, S. (2018). New characterizations of spacelike curves on timelike surfaces through the link of specific frames. TWMS Journal of Applied and Engineering Mathematics, 8(1A), 330-340.Abstract
In this work, considering a regular spacelike curve on a smooth timelike surface in Minkowski 3-space, we investigate relations between the mentioned curve’s Darboux and Bishop frames on the timelike surface. Next we obtain Darboux vector of the regular spacelike curve in terms of Bishop apparatus. Thereafter, translating the Darboux vector to the center of the unit sphere, we determine aforementioned spacelike curve. Moreover, we investigate this spherical image’s Frenet-Serret and Bishop apparatus and illustrate our results with two examples.
Source
TWMS Journal of Applied and Engineering MathematicsVolume
8Issue
1AURI
https://hdl.handle.net/11729/2671http://jaem.isikun.edu.tr/web/index.php/archive/98-vol8no1a/350
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