Title of article :
ON RULED NON-DEGENERATE SURFACES WITH DARBOUX FRAME IN MINKOWSKI 3-SPACE
Author/Authors :
YELIZ SENTURK, GULSUM Istanbul Gelisim University - Faculty of Engineering and Architecture - Department of Computer Engineering - Istanbul, Turkey , YUCE, SALIM Yildiz Technical University - Faculty of Arts and Sciences - Department of Mathematics - Istanbul, Turkey
Abstract :
In this paper, ruled non-degenerate surfaces with respect to Darboux frame
are studied. Characterization of them which are related to the geodesic torsion, the normal curvature and the geodesic curvature with respect to Darboux frame are examined.
Furthermore, some special cases of non-null rulings are demonstrated according to Frenet
frame {T, N, B} with Darboux frame {T, g, n}. Finally, the integral invariants of these
surfaces are examined.
Keywords :
Ruled surface , Darboux frame , Lorentz 3-space , integral invariants
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
