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  • Research Article
  • Open Access

Automorphisms of Submanifolds

Advances in Difference Equations20102010:202731

Received: 26 October 2009

Accepted: 23 April 2010

Published: 30 May 2010


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


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

Department of Mathematics, Faculty of Civil Engineering, Brno University of Technology, Brno, Czech Republic


© V. Chrastinová and V. Tryhuk. 2010

This article is published under license to BioMed Central Ltd. 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.