ON THE DETERMINATION OF A DEVELOPABLE SPHERICAL ORTHOTOMIC TIMELIKE RULED SURFACE

Authors : Ö. Gökmen YILDIZ, Siddika Ö. KARAKUŞ, H. Hilmi HACISALİHOĞLU

Pages : 75-83

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Publication Date : 2015-04-01

Article Type : Research Paper

Abstract :In this paper, a method for determination of developable spherical orthotomic ruled surfaces generated by a spacelike curve on dual hyperbolic unit sphere is given by using dual vector calculus in R31 . We show that dual vectorial expression of a developable spherical orthotomic timelike ruled surface can be obtained from coordinates and the rst derivatives of the base curve. The paper concludes with an example related to this method.
Keywords : Ruled Surface, Developable Surface, Dual Hyperbolic Unit Sphere, Minkowski Space