{
  "annotation_id": "d2308fb6-80ba-434d-91a2-f53b6058f780",
  "date_created": "2026-03-02T18:02:50.691000Z",
  "date_modified": "2026-03-02T18:02:50.691000Z",
  "file_hash": "6f491ea3aac75cb15a4de06706a186d7d8abb696661a74de37100afffb626423",
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  "record": {
    "abstract": "The law of transformation of affine connection for n-dimensional manifolds as\nthe system of nonlinear equations on local coordinates of manifold is\nconsidered. The extension of the Darboux-Lame system of equations to the spaces\nof constant negative curvature is demonstrated. Geodesic deviation equation as\nwell as the equations of geodesics are presented in the form of the matrix\nDarboux-Lame system of equations.",
    "arxiv_id": "solv-int/9803004",
    "authors": [
      "Valery S. Dryuma"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "journal_ref": "Buletinul Academiei de Stiinte a Republicii Moldova Matematica,\n  v.1(26), 1998, p.55-68",
    "title": "On the Law of Transformation of Affine Connection and its Integration.   Part 1. Generalization of the Lame equations",
    "url": "https://arxiv.org/abs/solv-int/9803004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02ee58a7-79f7-49bb-b78b-1395e8e46910",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}