Title of article :
Frenet frames and invariants of timelike ruled surfaces
Author/Authors :
Onder, Mehmet Celal Bayar University - Faculty of Science and Arts - Department of Mathematics, Turkey , Ugurlu, H.Huseyin Gazi Üniversitesi - Faculty of Education - Department of Secondary Education Science and Mathematics Teaching, Mathematics Teaching Program, Turkey
Abstract :
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame. We define instantaneous rotation vectors of the Frenet frames of timelike ruled surfaces. Also we prove the Chasles Theorem for timelike ruled surfaces.
Keywords :
Minkowski 3 , space , Timelike ruled surface , Curvatures
Journal title :
Ain Shams Engineering Journal
Journal title :
Ain Shams Engineering Journal
