2016

3-Boyutlu Minkowski Uzayında İnvolüt-Evolüt Eğrilerinin TB ve NB-Smarandache Eğrileri

spacelike eğrisi, timelike eğrisinin bir involütü olsun. Bu çalışmada,*eğrisinin Frenet vektörleri konumvektörleri olarak alındığında null olmayan* * T Bve* * N B -Smarandache eğrilerinin eğrilik ve torsiyonlarıtimelike evolüt eğrisine bağlı olarak hesaplanmıştır. Son olarak, elde edilen sonuçlar ile ilgili örnekler verilmiştir.

TB and NB-Smarandache Curves of Involute-Evolute Curves in Minkowski 3-space

Let the spacelike curve *  be the involute of the ? timelike curve. In this study, when the Frenet vectors of the involute curve ? ∗ are taken as the position vectors, the curvature and the torsion of non-null * * T B and * * N B - Smarandache curve are calculated depending upon the timelike evolute curve ?. Finally, we give two illustrative examples related to our results.

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