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http://dx.doi.org/10.5831/HMJ.2017.39.4.603

SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE  

Duldul, Bahar Uyar (Education Faculty, Department of Mathematics and Science Education, Yildiz Technical University)
Publication Information
Honam Mathematical Journal / v.39, no.4, 2017 , pp. 603-616 More about this Journal
Abstract
In this paper, we give some relations related with a spacelike principal-direction curve and a spacelike binormal-direction curve of a timelike Frenet curve. The Darboux-direction curve and the Darboux-rectifying curve of a timelike Frenet curve in Minkowski 3-space $E^3_1$ are introduced and some characterizations related with these associated curves are given. Later we define the spacelike V-direction curve which is associated with a timelike curve lying on a timelike oriented surface in $E^3_1$ and present some results together with the relationships between the curvatures of this associated curve.
Keywords
timelike Frenet curve; associated curve; integral curve; slant helix; rectifying curve;
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Times Cited By KSCI : 1  (Citation Analysis)
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