Minkowski空间中类光增长曲面的几何结构  

Geometric Structure of Lightlike Growth Surface in Minkowski Space

作　　者：李雅雯 钱金花[1] Ya Wen LI;Jin Hua QIAN(Department of Mathematics,Northeastern University,Shenyang 110819,P.R.China)

机构地区：[1]东北大学理学院,沈阳110819

出　　处：《数学学报（中文版）》2023年第6期1045-1056,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11801065)。

摘　　要：在三维闵可夫斯基(Minkowski)空间中,以类光曲线做为初始曲线,在曲线上每一点指定增长方向和增长速度,提出类光增长曲面的概念.通过类光曲线的结构函数研究类光增长曲面的几何结构,同时探究由类光螺线作为初始曲线生成的类光增长曲面的结构表达式,并通过具体的实例描述类光增长曲面的生成过程.In this article,the concept of lightlike growth surface is proposed by evolving a lightlike curve as dictated direction and growth velocity in Minkowski 3-space.The geometric structure of the lightlike growth surfaces are investigated by the aid of the structure function of its generating lightlike curve.Meanwhile,the expression forms of the lightlike growth surfaces initiated by the lightlike helices are explored accompanied with several typical examples to characterize the growth process of such kind of surfaces explicitly.

关 键 词：闵可夫斯基空间 类光曲线 增长曲面 类光螺线 结构函数 

分 类 号：O184[理学—数学]