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arXiv · 0906.2077

On the Developable Mannheim Offsets of Timelike Ruled Surfaces

Mehmet Onder·H. Hüseyin Uğurlu
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Abstract

In this paper, using the classifications of timelike and spacelike ruled surfaces, we study the Mannheim offsets of timelike ruled surfaces in Minkowski 3-space. Firstly, we define the Mannheim offsets of a timelike ruled surface by considering the Lorentzian casual character of the offset surface. We obtain that the Mannheim offsets of a timelike ruled surface may be timelike or spacelike. Furthermore, we characterize the developable of Mannheim offset of a timelike ruled surface by the derivative of the conical curvature of the directing cone.

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Mehmet Onder, H. Hüseyin Uğurlu. 2013-05-27. On the Developable Mannheim Offsets of Timelike Ruled Surfaces. https://arxiv.org/abs/0906.2077

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