张历宁, 邹振隆
理论物理通讯. 1982, 1(3): 357-369.
In this work, the analysis of the space-time manifolds, their kinematic groups and Lie algebras are made as intuitive as possible. First of all, an analysis ofthe inertial frames shows that the space-time manifold in which there exists a global inertial frame should be a pseudo-sphere so that the kinematic group must be a rotation group. Thus the explicit analytical expressions of such kinematical transformations and the commutation relations among the corresponding generators can be formulated easily. Consequently, the contractions of such manifolds,kinematic groups and Lie algebras can be deduced concretely and intuitively.