四维Minkowski空间中伪零曲线的结构函数  

Structure Functions of Pseudo Null Curve in Minkowski 4-space

作　　者：胡娜 张亭亭 姜杨 HU Na;ZHANG Tingting;JIANG Yang(School of Science,Shenyang University of Technology,Shenyang 110870,China;College of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China)

机构地区：[1]沈阳工业大学理学院,沈阳110870 [2]沈阳师范大学数学与系统科学学院,沈阳110034

出　　处：《湖北民族大学学报（自然科学版）》2022年第2期237-240,共4页Journal of Hubei Minzu University:Natural Science Edition

基　　金：数学天元青年基金项目(11426157).

摘　　要：通过定义四维Minkowski空间中伪零曲线的结构函数,将伪零曲线的Frenet标架及其曲率函数用结构函数的形式表示出来,并得到所定义的两个结构函数之间的关系.最后,讨论了特殊结构函数伪零曲线的曲率函数及其曲线表达式,并给出相应的例子.In this paper,we define the structure functions of pseudo null curves in the Minkowski 4-space.The Frenet frame and the curvature functions of pseudo null curves are expressed in the form of structure functions and the relationship between the defined two structure functions is obtained.Finally,we discuss the structure functions and curves expressions of pseudo null curves when the structure functions are special functions and give the corresponding examples.

关 键 词：MINKOWSKI空间 伪零曲线 Frenet标架 结构函数 曲率函数 

分 类 号：O186[理学—数学]