Advances in Difference Equations
Volume 2010 (2010), Article ID 202731, 26 pages
Research Article

Automorphisms of Submanifolds

Department of Mathematics, Faculty of Civil Engineering, Brno University of Technology, Veveří 331/95, 602 00 Brno, Czech Republic

Received 26 October 2009; Revised 12 February 2010; Accepted 23 April 2010

Academic Editor: Josef Diblik

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.


The paper deals with local symmetries of the infinite-order jet space of C-smooth n-dimensional submanifolds in m+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.