JP Journal of Geometry and Topology
Volume 16, Issue 1, Pages 17 - 43
(August 2014)
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DARBOUX FRAMES OF BERTRAND CURVES IN THE GALILEAN AND PSEUDO-GALILEAN SPACES
H. S. Abdel-Aziz and M. Khalifa Saad
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Abstract:
This paper aims to define and provide relationships between pairs of Bertrand curves on ruled surfaces of type I in the Galilean and pseudo-Galileanspaces.Moreover,someimportantconditionsbetween the curvatures of these curves are obtained. Finally, two examples are given to confirm our results. |
| Keywords and phrases: Darboux frame, Bertrand curves, ruled surfaces, Galilean and pseudo-Galilean spaces. |
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