Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality

Details Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality

1999-10-09

arxiv.org/abs/math-ph/9910014v2

Commun.Math.Phys. 212 (2000) 653-686

Physics

Mathematical Physics

16 pages, AMSTeX, bugs fixed in example 3.2

Scientific paper

10.1007/s002200000215

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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