Browsing by Author "Ekinci Z."

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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.
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    On the kinematic interpretation of timelike ruled surfaces
    (World Scientific, 2015) Önder M.; Ekinci Z.
    Timelike ruled surfaces are studied in dual Lorentzian space D-13 by considering E. Study Mapping and Blaschke frame. A reference timelike ruled surface is considered and associated surfaces are defined. First, it is shown that the surface generated by the instantaneous screw axis (ISA) is a Mannheim offset of reference surface. Later, the kinematic interpretations between these surfaces are introduced by means of Blaschke invariants. © 2015 World Scientific Publishing Company.
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    On closed timelike and spacelike ruled surfaces
    (John Wiley and Sons Ltd, 2017) Önder M.; Ekinci Z.
    In this study, by using the concepts and results on spherical curves in dual Lorentzian space, we give the criterions for ruled surfaces with non-lightlike ruling to be closed (periodic). Moreover, we obtain the necessary and sufficient conditions to guarantee that a timelike or a spacelike ruled surface is closed (periodic). Copyright © 2016 John Wiley & Sons, Ltd. Copyright © 2016 John Wiley & Sons, Ltd.