engleski

Involutes and evolutes in n-dimensional simply isotropic space

In this paper the notions of the isotropic involutes (of order k) and the isotropic evolutes in n-dimensional simply isotropic space In(1) are defined. We determine the formula of involutes of a given admissible curve in In(1) and the curvature and the torsion of involutes and evolutes in I3(1). The system of differential equations which determines the evolute of a given admissible curve in In(1) is found. The explicit formula of the evolutes of admissible curve in I3(1) is given. The definitions of involutes and evolutes, which are used in this article, are motivated by the analogous definitions for Euclidean case.

isotropic space; curve

nije evidentirano