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Screw Theory in Lorentzian Space

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Abstract

In this paper we present various results about the six dimensional vectors obtained from the tangent operators of spatial motion, called as screws, in Lorentzian space. Each screw has an axis defined by six Plücker coordinates in Lorentzian space. The manipulation of screw coordinate transformations has been simplified by using Lorentz matrix multiplication and dual number algebra. Also, we showed that screw displacement is representation as the exponential of a dual angular velocity matrix by using the dual orthogonal matrices in Lorentzian space.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Art, Bilecik Seyh Edebali University, 11200, Bilecik, Turkey

    Sıddıka Özkaldı Karakuş

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  1. Sıddıka Özkaldı Karakuş
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Correspondence to Sıddıka Özkaldı Karakuş.

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Communicated by Hongbo Li

We wish to thank the referee for the careful reading of the manuscript and constructive comments that have substantially improved the presentation of the paper.

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Karakuş, S.Ö. Screw Theory in Lorentzian Space. Adv. Appl. Clifford Algebras 29, 3 (2019). https://doi.org/10.1007/s00006-018-0924-1

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  • DOI: https://doi.org/10.1007/s00006-018-0924-1

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