摘要
测地线又称为短程线,是指物体在某种时空结构中从一点运动到另一点所走过的最短路程。描述测地线的数学表达式称为测地线方程。测地线方程可以用多种方法推导出来,但需要寻找一种使人最容易理解和接受的方法来完成这一推导过程,才能加深对欧氏空间和非欧氏空间中各种性质的理解。
Geodesic refers to the shortest path an object moves from one point to another point in a time-space structure.The mathematical expression to describe the geodesic is called geodesic equation.Geodesic equation can be derived by many methods,however,the method which is the easiest to be understood and accepted is needed to complete the derivation process.Only by doing so can the various properties in both Euclid space and non-Euclidean space be understood deeply.
出处
《天津职业院校联合学报》
2010年第2期81-83,95,共4页
Journal of Tianjin Vocational Institutes
关键词
测地线方程
欧氏空间
协变微分
geodesic equation
Euclid space
covariant differentiation