标题： 时空中的相对论 显示英文标题

标题： Relativity theory in time-space

摘要： 本文作者早先论文中定义的时间空间概念是对所谓的时空概念的一种推广。在本文中，我们引入了时间空间流形的概念。在齐次的情况下，一个时间空间流形是一个具有特定切空间的不同iable流形，这些切空间具有一种固定的时间空间结构。我们将用这个一般情况重新定义整体相对论的基本概念。我们分别研究仿射联络、平行移动、曲率张量和爱因斯坦方程的概念。 显示英文摘要

摘要： The concept of time-space defined in an earlier paper of the author is a certain generalization of the so-called space-time. In this paper we introduce the concept of time-space manifolds. In the homogeneous case, a time-space manifold is a differentiable manifold with such tangent spaces which have a certain fixed time-space structure. We redefine the fundamental concepts of global relativity theory with respect to this general situation. We study the concepts of affine connection, parallel transport, curvature tensor and Einstein equation, respectively.