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http://dx.doi.org/10.5831/HMJ.2016.38.3.467

ON TIMELIKE BERTRAND CURVES IN MINKOWSKI 3-SPACE  

Ucum, Ali (Kirikkale University, Faculty of Sciences and Arts, Department of Mathematics)
Ilarslan, Kazim (Kirikkale University, Faculty of Sciences and Arts, Department of Mathematics)
Publication Information
Honam Mathematical Journal / v.38, no.3, 2016 , pp. 467-477 More about this Journal
Abstract
In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve with spacelike principal normal or a Cartan null curve, respectively. Thus, by considering these three cases, we get the necessary and sufficient conditions for a timelike curve to be a Bertrand curve. Also we give the related examples.
Keywords
Bertrand curve; Minkowski 3-space; Cartan null curve; non-null curve;
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Times Cited By KSCI : 2  (Citation Analysis)
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