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2016•International Electronic Journal of GeometryOpen access

A New Approach about the Determination of a Developable Spherical Orthotomic Ruled Surface in R(1,3)

Önder Gökmen Yıldız, Sıddıka Özkaldı Karakuş, H. Hilmi HACISALİHOĞLU

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Abstract

In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus in R 31 .We show that dual vectorial expression of a developable spherical orthotomic spacelike and timelike ruled surface generated by a curve on dual Lorentzian unit sphere can be obtained from coordinates and the first derivatives of the base curve.The paper concludes with an example related to this method.

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In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus in R 31 .We show that dual vectorial expression of a developable spherical orthotomic spacelike and timelike ruled surface generated by a curve on dual Lorentzian unit sphere can be obtained from coordinates and the first derivatives of the base curve.The paper concludes with an example related to this method.

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Available abstract

In this paper, a method for determination of developable spherical orthotomic ruled surfaces is given by using dual vector calculus in R 31 .We show that dual vectorial expression of a developable spherical orthotomic spacelike and timelike ruled surface generated by a curve on dual Lorentzian unit sphere can be obtained from coordinates and the first derivatives of the base curve.The paper concludes with an example related to this method.

Key concepts: Developable surface, Ruled surface, Surface (topology), Geometry, Physics, Mathematics

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