ON RULED NON-DEGENERATE SURFACES WITH DARBOUX FRAME IN MINKOWSKI 3-SPACE

Year 2020, Volume: 10 Issue: 2, 499 - 511, 01.03.2020

G. Y. Şentürk S. Yüce

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

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