SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE
HONAM MATHEMATICAL JOURNAL, cilt.39, sa.4, ss.603-616, 2017 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 4
- Basım Tarihi: 2017
- Doi Numarası: 10.5831/hmj.2017.39.4.603
- Dergi Adı: HONAM MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.603-616
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
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-1(3) 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-1(3) and present some results together with the relationships between the curvatures of this associated curve.