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A Note on Evolution of Curves in the Minkowski Spaces

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Abstract

In this paper, we study the evolution of non-null curve in n-dimensional Minkowski Space. We express evolution equation of the Frenet frame by matrix equation. We obtain integrability conditions for the evolutions. Finally, we give examples of evolutions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Bilecik Şeyh Edebali University, Bilecik, Turkey

    Önder Gökmen Yıldız

  2. Department of Mathematics, Faculty of Arts and Sciences, Sakarya University, Sakarya, Turkey

    Murat Tosun

Authors
  1. Önder Gökmen Yıldız
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  2. Murat Tosun
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Correspondence to Murat Tosun.

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Communicated by Wolfgang Sprössig

This work was completed with the support of our \({\hbox{\TeX}}\)-pert.

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Yıldız, Ö.G., Tosun, M. A Note on Evolution of Curves in the Minkowski Spaces. Adv. Appl. Clifford Algebras 27, 2873–2884 (2017). https://doi.org/10.1007/s00006-017-0760-8

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  • DOI: https://doi.org/10.1007/s00006-017-0760-8

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