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
Pages
13
From page
499
To page
511
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
Serial Year
2020
Record number
2588988
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