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arxiv: 1311.2314 · v1 · pith:R2G6VS3Znew · submitted 2013-11-10 · 🧮 math.DG

Dual Hyperbolic Conchoidal Motion

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keywords dualhyperbolicmotionunitconchoidallorentzianspacesphere
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Dual spherical conchoidal motion has been defined by Yapar. In this work, we define this motion on a dual hyperbolic unit sphere in the dual Lorentzian space with dual signature, and the results carried to the Lorentzian lines space by means of the Study s mapping. We also obtain the study maps of the orbits drawn on the fixed dual hyperbolic unit sphere by unit dual vectors of an orthonormal base .

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