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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2001, 6(2), 137-145; https://doi.org/10.3390/mca6020137

On the Integral Invariants of a Time-Like Ruled Surface

1
Ege University, Department of Mathematics, 35100, Bomova, İzmir, Turkey
2
Ankara University, Department of Mathematics, Beşevler, Ankara, Turkey
*
Author to whom correspondence should be addressed.
Published: 1 August 2001
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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 Time-Like Ruled Surface; Real Pitch; Real Angle of Pitch; Dual Angle of Pitch
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Özyılmaz, E.; Yaylı, Y. On the Integral Invariants of a Time-Like Ruled Surface. Math. Comput. Appl. 2001, 6, 137-145.

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