Affiliation:
1. Department of Mathematics, Faculty of Science Firat University Elazig Turkey
2. Department of Mathematics, Faculty of Science Kahramanmaras Sutcu Imam University Kahramanmaras Turkey
Abstract
In this paper, we initiate the study of the multiplicative Euclidean submanifolds, exhibiting the multiplicative counterparts of the Gauss–Weingarten formulas. Some particular types such as multiplicative conic, spherical, and totally geodesic submanifolds are analyzed. In relation to such multiplicative submanifolds, we introduce multiplicative rectifying submanifolds and characterize by means of multiplicative concurrent vector fields. The multiplicative rectifying hypersurfaces are also obtained.
Funder
Türkiye Bilimsel ve Teknolojik Araştırma Kurumu