ON THE CURVATURE THEORY OF NON-NULL CYLINDRICAL SURFACES IN MINKOWSKI 3-SPACE
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.6, sa.1, ss.22-29, 2016 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 6 Sayı: 1
- Basım Tarihi: 2016
- Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.22-29
- Gazi Üniversitesi Adresli: Evet
Özet
This paper presents the curvature theory of non-null cylindrical surfaces in Minkowski 3-space. The definition of the line of striction and generator trihedron for cylindrical surfaces in Minkowski 3-space are given. The derivation formulae and Darboux instantaneous rotation vectors of generator trihedrons which play important role in robot kinematics are found. Moreover, curvature theory of a Lorentzian circular cylinder is given as an example.