• Received : 2014.11.11
  • Published : 2015.11.30


In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of non-null curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of ${\mathbb{E}}_1^n$. We determine the parametrizations of non-null self-similar curves in ${\mathbb{E}}_1^n$.


Lorentzian similarity geometry;similarity transformation;similarity invariants;similar curves;self-similar curves


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