{
  "annotation_id": "dbead588-dbd4-414c-9e36-724e08da715d",
  "date_created": "2026-03-02T18:02:51.454000Z",
  "date_modified": "2026-03-02T18:02:51.454000Z",
  "file_hash": "6030bbe64ebc147ed2778284dd3ed41c3f2ddc707e9caf45919445bfdb1e7b46",
  "private": false,
  "record": {
    "abstract": "For the n-dimensional integrable system with a twisted so(p,q) reduction,\nDarboux transformations given by Darboux matrices of degree 2 are constructed\nexplicitly. These Darboux transformations are applied to the local isometric\nimmersion of space forms with flat normal bundle and linearly independent\ncurvature normals to give the explicit expression of the position vector. Some\nexamples are given from the trivial solutions and standard imbedding T^n\\to\nR^{2n}.",
    "arxiv_id": "solv-int/9808006",
    "authors": [
      "Zixiang Zhou"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0266-5611/14/5/018",
    "journal_ref": "Inverse Problems 14 (1998) 1353-1370",
    "title": "Darboux transformations for twisted so(p,q) system and local isometric   immersion of space forms",
    "url": "https://arxiv.org/abs/solv-int/9808006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e0919b2-5a37-46ed-a915-a99be43db42f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}