2024/03/11 by Aykut Has, Beyhan Yılmaz
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Advanced Mathematical Theories and Applications
paper · pdf · doi:10.1088/1402-4896/ad32b7
Abstract The aim of this study is to rearrange magnetic curves and their main properties with the help of multiplicative calculi. Magnetic curves have been examined in many spaces with the tools of traditional (Newtonian) analysis and their characterizations have been obtained. The innovation brought by this study; magnetic curves and many other getometric and physical expressions were studied for the first time with non-Newtonian arguments in multiplicative space. 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.