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SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE

Mustafa Özdemir|Hakan Simsek
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회보 (Bulletin of the KMS)|제52권 제6호|pp. 2071-2093

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참고문헌

키워드

Lorentzian similarity geometrysimilarity transformationsimilarity invariantssimilar curvesself-similar curves
주제분류수학

초록

In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of En1 . We determine the parametrizations of non-null self-similar curves in En1 .

Abstract

In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the geometric invariants of nonnull curves under the similarity transformations. Besides, we extend the fundamental theorem for a non-null curve according to a similarity motion of En1 . We determine the parametrizations of non-null self-similar curves in En1 .

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