Copyright © 2010 Veronika Chrastinová and Václav Tryhuk. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper deals with local symmetries of the infinite-order jet space of C∞-smooth n-dimensional submanifolds in ℝm+n. Transformations under consideration are the most general possible. They need not preserve the distinction between dependent, and independent variables, the order of derivatives and the hierarchy of finite-order jet spaces.