TY  - JOUR
T1  - On non-Newtonian Helices in Multiplicative Euclidean Space
AU  - Has, Aykut
AU  - Yılmaz, Beyhan
PY  - 2025
DA  - July
Y2  - 2025
DO  - 10.54974/fcmathsci.1644427
JF  - Fundamentals of Contemporary Mathematical Sciences
JO  - FCMS
PB  - Mustafa UÇKUN
WT  - DergiPark
SN  - 2717-6185
SP  - 196
EP  - 217
VL  - 6
IS  - 2
LA  - en
AB  - 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.
KW  - Non-Newtonian calculus
KW  - spherical indicatrices
KW  - helices
KW  - multiplicative differential geometry.
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UR  - https://doi.org/10.54974/fcmathsci.1644427
L1  - https://dergipark.org.tr/en/download/article-file/4630025
ER  -