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  • Research Article
  • Open Access

Automorphisms of Submanifolds

Advances in Difference Equations20102010:202731

https://doi.org/10.1155/2010/202731

  • Received: 26 October 2009
  • Accepted: 23 April 2010
  • Published:

Abstract

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.

Keywords

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

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Civil Engineering, Brno University of Technology, Veveří 331/95, 602 00 Brno, Czech Republic

Copyright

© 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.

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