On the Integral Invariants of a Time-Like Ruled Surface
Makaleler > Tam Makale · 2001
Yazarlar: E. Özyılmaz, Y. Yaylı
Mathematical and Computational Applications, Uluslararası, Scopus, 2001, cilt 6, ss 137-145
DOI: 10.3390/mca6020137
Özet
In this study, we discuss the dual Lorentzian spherical motions and calculate the real integral invariants of a closed time-like ruled surfaces in \(R_1^3\). Then, we define the dual angle of pitch of a closed time-like ruled surface, and give a relation between the dual Steiner vector of the dual spherical motion and dual angle of pitch of the timelike ruled surface. Finally, we obtain a relation between the dual angle of pitch and the real integral invariants of time-like ruled surface.