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A Note on Evolution of Curves in the Minkowski Spaces

A Note on Evolution of Curves in the Minkowski Spaces 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

A Note on Evolution of Curves in the Minkowski Spaces

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
DOI
10.1007/s00006-017-0760-8
Publisher site
See Article on Publisher Site

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.

Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: Feb 20, 2017

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