SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

• OZDEMIR, MUSTAFA (Department of Mathematics Akdeniz University) ;
• SIMSEK, HAKAN (Department of Mathematics Akdeniz University)
• Published : 2015.11.30
• 66 3

Abstract

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 ${\mathbb{E}}_1^n$.

Keywords

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

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