五维共形域上的START
START in a five-dimensional conformal domain
摘要：
本文对共形群O（4，2）的五维齐性空间的伪黎曼几何作了一个简要的回顾。它的拓扑结构的描述和它的关系，共形紧Minkowski空间的描述。它的度量使用广义半空间表示计算。紧通过李球几何概述。可能的应用程序，以海梅凯勒的START理论可能遵循使用其前身-5光学俞。B. Rumer鲁默的观点在论文的最后一节中得到了广泛的讨论。关键词卡鲁扎，克莱因，鲁默，共形对称，双曲空间，START，第五维，作用坐标，5-光学
英文摘要：
In this paper we give a brief review of the pseudo-Riemannian geometry of the five-dimensional homogeneous space for the conformal group O(4,2). Its topology is described and its relation to the conformally compactified Minkowski space is described. Its metric is calculated using a generalized half-space representation. Compactification via Lie-sphere geometry is outlined. Possible applications to Jaime Keller's START theory may follow by using its predecessor - the 5-optics of Yu. B. Rumer. The point of view of Rumer is given extensively in the last section of the paper. Keywords. Kaluza,Klein, Rumer, conformal symmetry, hyperbolic space, START, fifth dimension, action coordinate, 5-optics
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