Symmetric Criticality in Classical Field Theory

Details Symmetric Criticality in Classical Field Theory Symmetric Criticality in Classical Field Theory

2010-11-15

arxiv.org/abs/1011.3429v1

Physics

Mathematical Physics

12 pages, to appear in the proceedings of the XIX International Fall Workshop on Geometry and Physics

Scientific paper

This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields the correct symmetry-reduced Euler-Lagrange equations.

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