On the Integral Invariants of a Time-Like Ruled Surface

Özyılmaz, Emin; Yaylı, Yusuf

doi:10.3390/mca6020137

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Article

1 August 2001

10 Pages

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

Author to whom correspondence should be addressed.

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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