SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

Title & Authors
SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE
OZDEMIR, MUSTAFA; SIMSEK, HAKAN;

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 $\small{{\mathbb{E}}_1^n}$. We determine the parametrizations of non-null self-similar curves in $\small{{\mathbb{E}}_1^n}$.
Keywords
Lorentzian similarity geometry;similarity transformation;similarity invariants;similar curves;self-similar curves;
Language
English
Cited by
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