{
  "id": "math/0610703",
  "version": "v1",
  "published": "2006-10-23T22:45:08.000Z",
  "updated": "2006-10-23T22:45:08.000Z",
  "title": "An existence theorem for G-structure preserving affine immersions",
  "authors": [
    "Paolo Piccione",
    "Daniel V. Tausk"
  ],
  "comment": "31 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove an existence result for local and global G-structure preserving affine immersions between affine manifolds. Several examples are discussed in the context of Riemannian and semi-Riemannian geometry, including the case of isometric immersions into Lie groups endowed with a left-invariant metric, and the case of isometric immersions into products of space forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-10-23T22:45:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A15",
      "53B05",
      "53C10",
      "53C40"
    ],
    "keywords": [
      "existence theorem",
      "isometric immersions",
      "global g-structure preserving affine immersions",
      "lie groups",
      "affine manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....10703P"
    }
  }
}