R2^4中一类常曲率的伪迷向曲线  

Pseudo Rull Curves with Constant Curvature in Semi-Euclidean Space

作　　者：张文庆[1] 欧阳崇珍[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2007年第5期420-424,共5页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(10671087);江西省自然科学基金资助项目(0611080)

摘　　要：Petrovic-Torgasev M.等[1]对半欧氏空间中常曲率的伪迷向曲线进行了分类。但是分类中并没有包含k1=1,k3=±1的常曲率伪迷向曲线。这类曲线在文中被确定,修正了他们的分类定理。Petrovic -Torgasev M. , Ilarslan K. and Nesovic E. have classified pseudo null curves with constant curvatures in semi - Euclidean space R2^4 . But the pseudo null curves with constant curvatures k1 = 1 ,k3 = ± 1 are not included in the classification theorem. In the present paper these curves are confirmed and the new discovery has revised the original one.

关 键 词：伪欧氏空间 伪迷向曲线 曲率 W-曲线 

分 类 号：O186[理学—数学]