Symmetric criticality in classical field theory
AIP Conference Proceedings, ISSN: 0094-243X, Vol: 1360, Issue: 63, Page: 63-74
2011
- 8Citations
- 325Usage
- 6Captures
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Metrics Details
- Citations8
- Citation Indexes8
- CrossRef4
- Usage325
- Downloads305
- Abstract Views20
- Captures6
- Readers6
Conference Paper Description
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. © 2011 American Institute of Physics.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=80051699367&origin=inward; http://dx.doi.org/10.1063/1.3599128; https://pubs.aip.org/aip/acp/article/1360/1/63-74/871654; https://digitalcommons.usu.edu/physics_facpub/1150; https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=2149&context=physics_facpub
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