On the Integral Invariants of a Time-Like Ruled Surface

Emin Özyılmaz; Yusuf Yaylı

doi:10.3390/mca6020137

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Article

1 August 2001

On the Integral Invariants of a Time-Like Ruled Surface

and

Ege University, Department of Mathematics, 35100, Bomova, İzmir, Turkey

Ankara University, Department of Mathematics, Beşevler, Ankara, Turkey

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Math. Comput. Appl.2001, 6(2), 137-145;https://doi.org/10.3390/mca6020137

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Abstract

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.

Keywords:

Time-Like Ruled Surface; Real Pitch; Real Angle of Pitch; Dual Angle of Pitch

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