{
  "id": "math-ph/9910014",
  "version": "v2",
  "published": "1999-10-09T23:05:50.000Z",
  "updated": "1999-11-07T22:18:08.000Z",
  "title": "Group Invariant Solutions without Transversality and the Principle of Symmetric Criticality",
  "authors": [
    "I. Anderson",
    "M. Fels",
    "C. Torre"
  ],
  "comment": "16 pages, AMSTeX, bugs fixed in example 3.2",
  "journal": "Commun.Math.Phys. 212 (2000) 653-686",
  "doi": "10.1007/s002200000215",
  "categories": [
    "math-ph",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-11-07T22:18:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric criticality",
      "transversality",
      "extend lies classical method",
      "finding group invariant solutions",
      "non-transverse group actions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 513063,
      "adsabs": "1999math.ph..10014A"
    }
  }
}