双曲复平面上的类时邻域  

Time-like Neighborhood in Hyperbolic Complex Plane

作　　者：李武明[1] 许宁[1] 

机构地区：[1]通化师范学院数学系,吉林通化134002

出　　处：《通化师范学院学报》2009年第10期1-2,共2页Journal of Tonghua Normal University

基　　金：吉林省教育厅科研基金(批准号:2007405)

摘　　要：利用双曲复平面上M inkowsk i圆的性质,引入双曲复平面上类时邻域(类空邻域,类光邻域)的概念,讨论了类时邻域的性质,得到类时曲线的有限覆盖定理.This paper introduces the concepts of the time-like neighborhood（space-like neighborhood and light-like neighborhood） by using the properties of Minkowski circle on the hyperbolic complex plane,using for discussing the properties of the time-like neighborhood.The theorem of finite covering of time-like curve is given.

关 键 词：双曲复数 双曲复平面 Minkowski圆 类时邻域 类时曲线 有限覆盖定理 

分 类 号：O174[理学—数学]