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On the kinematic-geometry of one-parameter Lorentzian spatial movement

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Abstract

In this paper, the relationships among the instantaneous invariants of a one-parameter Lorentzian spatial movement and the local invariants of the axodes are studied. New proofs for Euler–Savary, and Disteli formulae are given which demonstrate the elegance and efficiency of the E. Study map in Lorentzian spatial kinematics. Consequently, two spacelike line congruences are introduced and their spatial equivalent are examined in detail.

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Authors and Affiliations

  1. Department of Mathematics, Science and Arts College, King Abdulaziz University, Rabigh, Saudi Arabia

    Nadia Alluhaibi

  2. Department of Mathematics, Faculty of Science, University of Assiut, 71516, Assiut, Egypt

    Rashad A. Abdel-Baky

Authors
  1. Nadia Alluhaibi
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  2. Rashad A. Abdel-Baky
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Both of the authors worked equally on this paper.

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Correspondence to Rashad A. Abdel-Baky.

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Alluhaibi, N., Abdel-Baky, R.A. On the kinematic-geometry of one-parameter Lorentzian spatial movement. Int J Adv Manuf Technol 121, 7721–7731 (2022). https://doi.org/10.1007/s00170-022-09812-x

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