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：1999
卷号：23
期号：1
页码：71-79
出版社：Faculty of Organization and Informatics University of Zagreb
摘要：In this paper, the notions of the isotropic involutes (of order k) and the isotropic evolutes in n-dimensional simply isotropic space In are defined. We determine the formula of involutes of a given admissible curve in In and the curvature and the torsion of involutes and evolutes in I3). The system of differential equations which determines the evolute of a given admissible curve in In is found. The explicit formula of the evolutes of admissible curve in I3 is given. The definitions of involutes and evolutes, which are used in this article, are motivated by the analogous definitions for Euclidean case from [2].
关键词：admissible curve; involutes; evolutes; n-dimensional simply isotropic space
