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arXiv · 1007.0452

Variational problems without having any non-trivial Lie variational symmetries

Mehdi Nadjafikhah·Saeed Dodangeh
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Abstract

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

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Mehdi Nadjafikhah, Saeed Dodangeh. 2010-07-02. Variational problems without having any non-trivial Lie variational symmetries. https://arxiv.org/abs/1007.0452

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