Variational problems without having any non-trivial Lie variational symmetries

preprint2010arXivOpen access

Abstract

In this paper we construct variational problems without Lie non-trivial variational symmetry and solving them using new class of symmetries (μμ-symmetry) which introduced by Guiseppe Gaeta and Paola Morando (2004). The central object in this paper is horizontal one-form μμ on first order jet space J1MJ^1 M.

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