期刊名称：Journal of Information and Organizational Sciences
印刷版ISSN：1846-3312
电子版ISSN：1846-9418
出版年度：1996
卷号：20
期号：2
页码：33-40
出版社：Faculty of Organization and Informatics University of Zagreb
摘要：Let (In(1), M) be n-dimensional simply isotropic space as it is defined in [3]. The absolute of this Cayley-Klein's geometry consists of the hyperplane ω and the hypersphere Γ of zero radius and Γcω . We shall first determine the group of general isotropic similarities which preserve the absolute. Then we define the isotropic distance d between two points, the isotropic angle φ between two nonisotropic hyperplanes and the isotropic angle ~φ between two isotropic hyperplanes. In case d=0 we shall define the range between points. In case φ=0 (~φ=0) isotropic distance a (isotropic distance φ*)between nonisotropic (isotropic) hyperplanes is defined. All these notions are invariants of the group of isotropic motions which is subgroup of the group of general isotropic similarities. We shall also define distance between a point and a nonisotropic hyperplane. All these invariants for the three dimensional case are given in [2].
