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arXiv · 2403.11282

On non-Newtonian Helices in Multiplicative Euclidean Space

Aykut Has·Beyhan Yılmaz
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Abstract

In this article, spherical indicatrices of a curve and helices are re-examined using both the algebraic structure and the geometric structure of non-Newtonian (multiplicative) Euclidean space. Indicatrices of a multiplicative curve on the multiplicative sphere in multiplicative space are obtained. In addition, multiplicative general helix, multiplicative slant helix and multiplicative clad and multiplicative g-clad helix characterizations are provided. Finally, examples and drawings are given.

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Aykut Has, Beyhan Yılmaz. 2024-03-17. On non-Newtonian Helices in Multiplicative Euclidean Space. https://arxiv.org/abs/2403.11282

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