On non-Newtonian Helices in Multiplicative Euclidean Space

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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Publication Details

Journal
Fundamentals of Contemporary Mathematical Sciences
Published
2025-07-30
DOI
https://doi.org/10.54974/fcmathsci.1644427
Citations
1
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
1.32
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article

On non-Newtonian Helices in Multiplicative Euclidean Space

Aykut Has, Beyhan Yılmaz
1 citations
Fundamentals of Contemporary Mathematical Sciences
Advanced Mathematical Theories and Applications
1.32
article

On non-Newtonian Helices in Multiplicative Euclidean Space

Aykut Has, Beyhan Yılmaz
article en
1 citations

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.

Fundamentals of Contemporary Mathematical SciencesVol. 6(2)
Kahramanmaraş Sütçü İmam University (TR)
Openalex Percentile: Top 17%
Advanced Mathematical Theories and Applications
1.32
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