A non-Newtonian magnetic curves in multiplicative Riemann manifolds

Abstract

The aim of this study is to rearrange magnetic curves and their main properties with the help of multiplicative calculi. In the study, the advantages of purely multiplicative operations and multiplicative calculation are used. Moreover, it unveils the distinctions (angle, norm, distance, line vb.) between the multiplicative Euclidean space and the conventional Euclidean space, offering a novel perspective on geometrically magnetic curves. As a result, the concept of multiplicative magnetic curves (t−magnetic, n−magnetic and b−magnetic) are introduced to the academic discourse, and the essential characterizations are established. The study also provides illustrative examples to facilitate a better is understood of the subject matter and employs Geogebra to generate visual representations of new concepts.