{
  "id": "math/0104123",
  "version": "v1",
  "published": "2001-04-11T13:11:53.000Z",
  "updated": "2001-04-11T13:11:53.000Z",
  "title": "Jacobi fields along harmonic maps",
  "authors": [
    "John C. Wood"
  ],
  "comment": "Latex 2e,16 pages, Paper presented at the Mathematical Society of Japan 9th International Research Institute: `Integrable Systems in Differential Geometry', 17-21 July 2000, University of Tokyo",
  "categories": [
    "math.DG"
  ],
  "abstract": "We show that Jacobi fields along harmonic maps between suitable spaces preserve conformality, holomorphicity, real isotropy and complex isotropy to first order; this last being one of the key tools in the proof by Lemaire and the author of integrability of Jacobi fields along harmonic maps from the 2-sphere to the complex projective plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-11T13:11:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C43",
      "58E20"
    ],
    "keywords": [
      "harmonic maps",
      "jacobi fields",
      "suitable spaces preserve conformality",
      "real isotropy",
      "complex isotropy"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......4123W"
    }
  }
}