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Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality

I. Anderson·M. Fels·C. Torre
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Abstract

We extend Lie's classical method for finding group invariant solutions to the case of non-transverse group actions. For this extension of Lie's method we identify a local obstruction to the principle of symmetric criticality. Two examples of non-transverse symmetry reductions for the potential form of Maxwell's equations are then examined.

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I. Anderson, M. Fels, C. Torre. 1999-11-07. Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality. https://doi.org/10.1007/s002200000215

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