On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space

YAYLI, Yusuf

doi:10.3390/mca5010049

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On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space

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Yusuf YAYLI

Ankara University, Faculty of Sciences, Department of Mathematics, Ankara, Turkey

Math. Comput. Appl. 2000, 5(1), 49-55; https://doi.org/10.3390/mca5010049

Published: 1 April 2000

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Abstract

In this paper, we obtained the distribution parameter of a spacelike ruled surface generated by a spacelike straight line in Frenet trihedron moving along a spacelike curve. We show that the spacelike ruled surface is developable if and only if the base curve is a helix (inclined curve). Furthermore, some theorems are given for the special cases which the line is being tangent, the principal normal and binormal of the base curve.

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YAYLI, Y. On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space. Math. Comput. Appl. 2000, 5, 49-55. https://doi.org/10.3390/mca5010049

AMA Style

YAYLI Y. On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space. Mathematical and Computational Applications. 2000; 5(1):49-55. https://doi.org/10.3390/mca5010049

Chicago/Turabian Style

YAYLI, Yusuf. 2000. "On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space" Mathematical and Computational Applications 5, no. 1: 49-55. https://doi.org/10.3390/mca5010049

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On the Motion of the Frenet Vectors and Spacelike Ruled Surfaces in the Minkowski 3-Space

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