吉首大学学报（自然科学版）2025，Vol.46Issue(3)：21-29,45,10.DOI:10.13438/j.cnki.jdzk.2025.03.004
ED标架下的类法曲线
Normal-Like Curves According to the ED-Frame in E41
摘要
Abstract
Based on the extended Darboux(ED)-framework,the normal-like curves under a specific ED-frame in E4 is defined.The concept of normal curves is extended to E41,and the characteristics of normal-like curves are analyzed in depth.Three equations relating the curvature of normal curves on hypersur-faces M are derived.These equations serve as the necessary and sufficient conditions for normal-like curves in E41.By applying the ED-frame,we define the E-expressions in E41 and give concrete applica-tion examples.关键词
类法曲线/扩展Darboux标架/曲率/挠率Key words
normal-like curve/extended Darboux framework/curvature/torsion分类
数学引用本文复制引用
胡娜,刘昊燃..ED标架下的类法曲线[J].吉首大学学报（自然科学版）,2025,46(3):21-29,45,10.基金项目
辽宁省教育厅基本科研项目(LJKMZ20220485) （LJKMZ20220485）
