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Contact Symmetries and Variational PDE’s

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Abstract

Symmetries of the contact ideal on the r-jet bundle over a fibred manifold are studied, and transformation properties under contact symmetries of different objects in the variational sequence related with systems of partial differential equations are investigated.

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Authors and Affiliations

  1. Department of Algebra and Geometry, Faculty of Science, Palacký University, Tomkova 40, 779 00, Olomouc, Czech Republic

    Demeter Krupka & Olga Krupková

  2. Department of Mathematics, La Trobe University, Bundoora, Victoria, 3086, Australia

    Demeter Krupka & Olga Krupková

Authors
  1. Demeter Krupka
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  2. Olga Krupková
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Correspondence to Demeter Krupka.

Additional information

This paper is dedicated to Valentin Lychagin on the occasion of his 60th birthday.

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Krupka, D., Krupková, O. Contact Symmetries and Variational PDE’s. Acta Appl Math 101, 163–176 (2008). https://doi.org/10.1007/s10440-008-9194-6

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  • DOI: https://doi.org/10.1007/s10440-008-9194-6

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