On instantaneous invariants in dual Lorentzian space kinematics

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Authors

  • N. Ayyildiz Department of Mathematics, Süleyman Demirel University, Turkey
  • Ș.N. Yalçin Department of Mathematics, Graduate School of Applied and Natural Sciences, Süleyman Demirel University, Turkey

Abstract

In this work, we study the concepts of canonical systems and instantaneous invariants in dual Lorentzian space. It gives a systematic approximation about determining the instantaneous invariants. Important for the characterization of higher-order intrinsic properties of a ruled surface, the instantaneous invariants are derived on the basis of line coordinates.

Keywords:

instantaneous invariants, rigid body, ruled surface, instantaneous screw axis, Lorentzian space