New geometric magnetic energy according to geometric Frenet formulas

被引:0
|
作者
Ekinci, Alper [1 ]
Bas, Selcuk [1 ]
Korpinar, Talat [2 ]
Korpinar, Zeliha [3 ]
机构
[1] Bandirma Onyedi Eylul Univ, Bandirma Vocat Sch, Balikesir, Turkiye
[2] Mus Alparslan Univ, Dept Math, TR-49250 Mus, Turkiye
[3] Mus Alparslan Univ, Dept Adm, TR-49250 Mus, Turkiye
关键词
Optical geometric frame; Geometric calculus; Geometric magnetic curves; VECTOR-FIELDS; CURVES;
D O I
10.1007/s11082-023-05569-z
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Geometric calculus is a special case of the Non-Newtonian Calculus introduced by Grossman and Katz (Non-Newtonian calculus, Lee Press, Pigeon Cove, 1972). Also, it is a more convenient calculation method for situations where the geometric increment is more meaningful than the arithmetic increment. In this study, geometric curves are defined and geometric Frenet-Serret formulas for these curves are presented. Furthermore, we give applications of these concepts to geometric magnetic curves.
引用
收藏
页数:10
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