Browsing by Publisher "National Academy of Sciences India"

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    On the Developable Mannheim Offsets of Timelike Ruled Surfaces
    (National Academy of Sciences India, 2014) Önder M.; Uğurlu H.H.
    In this paper, using the classifications of timelike and spacelike ruled surfaces, we study the Mannheim offsets of timelike ruled surfaces in the Minkowski 3-space. First, we define the Mannheim offsets of a timelike ruled surface by considering the Lorentzian casual character of the offset surface. We obtain that the Lorentzian casual character of the Mannheim offset of a timelike ruled surface may be timelike or spacelike. Furthermore, we give characterizations for developable Mannheim offsets of a timelike ruled surface. © 2014, The National Academy of Sciences, India.
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    Disteli Diagram of Dual Hyperbolic Spherical Motion in Dual Lorentzian Space
    (National Academy of Sciences India, 2014) Ekinci Z.; Uğurlu H.H.
    In this paper Disteli diagram is introduced for hyperbolic spatial motion by considering the E. Study mapping of timelike lines. Disteli’s diagram of pure rotations is obtained on a circle of Lorentzian space and also given for the general case. The distribution parameters of the axodes are obtained in Disteli’s diagram. © 2014, The National Academy of Sciences, India.