Multiplicative rectifying submanifolds of multiplicative Euclidean space

被引：0

作者：

Aydin, Muhittin Evren ^{[1
]}

Has, Aykut ^{[2
]}

Yilmaz, Beyhan ^{[2
]}

机构：

[1] Firat Univ, Fac Sci, Dept Math, TR-23200 Elazig, Turkiye

[2] Kahramanmaras Sutcu Imam Univ, Fac Sci, Dept Math, Kahramanmaras, Turkiye

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 01期

关键词：

multiplicative calculus; multiplicative Euclidean space; rectifying submanifold; CALCULUS; GEOMETRY; CURVES; VECTOR;

D O I：

10.1002/mma.10329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：329 / 339

页数：11

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