{
  "annotation_id": "742b0cb9-ad7e-4a68-880b-87b532f13e08",
  "date_created": "2026-03-02T18:02:50.693000Z",
  "date_modified": "2026-03-02T18:02:50.693000Z",
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  "record": {
    "abstract": "It is shown that quadratic constraints are compatible with the geometric\nintegrability scheme of the multidimensional quadrilateral lattice equation.\nThe corresponding Ribaucour reduction of the fundamental transformation of\nquadrilateral lattices is found as well, and superposition of the Ribaucour\ntransformations is presented in the vectorial framework. Finally, the quadratic\nreduction approach is illustrated on the example of multidimensional circular\nlattices.",
    "arxiv_id": "solv-int/9802011",
    "authors": [
      "Adam Doliwa"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0393-0440(98)00053-9",
    "journal_ref": "J. Geom. Phys. 30 (1999) 169-186",
    "title": "Quadratic reductions of quadrilateral lattices",
    "url": "https://arxiv.org/abs/solv-int/9802011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2b7afe18-bfaa-48b4-b37b-3f8dbe71354d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}