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INVOLUTES AND EVOLUTES IN n-DIMENSIONAL SIMPLY ISOTROPIC SPACE In

Blaženka Divjak orcid.org/0000-0003-0649-3267 ; Faculty of Organization and Informatics, University of Zagreb, Varaždin, Croatia
Željka Milin Šipuš orcid.org/0000-0002-0726-3335 ; Department of Mathematics, University of Zagreb, Zagreb, Croatia

Sažetak

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].

Ključne riječi

admissible curve; involutes; evolutes; n-dimensional simply isotropic space

Hrčak ID:

78765

URI

https://hrcak.srce.hr/78765

Datum izdavanja:

11.6.1999.

Posjeta: 2.914 *