Galilean空间G^3上的AW(k)型Bertrand曲线

An AW(k)-type Bertrand Curve in Galilean Space G^3

在空间曲线的刻划方法和空间曲线基本理论的基础上,研究Galilean空间G3上的AW(k)型Bertrand曲线。讨论Galilean空间G3上AW(k)型容许曲线存在的条件;根据Bertrand曲线的定义,研究Bertrand曲线存在的充要条件,给出了AW(k)型Bertrand曲线的特征刻划,并通过具体例子进行了详细地说明。

We studied AW （k ） -type admissible Bertrand curve in Galilean space G3 on the basis of character- ization and basic theory of spatial curve. We discussed the sufficient and necessary condition of AW （ k ） - type admissible curve in Galilean space G3 , and studied the sufficient and necessary condition of Bertrand curve ac- cording to its definition. At last, we obtained some characterizations on AW（k ） -type Bertrand curve and of- fered the explanation with examples.