{
  "annotation_id": "843ae70c-1fac-4853-b542-059b522a0a40",
  "date_created": "2026-03-02T18:01:21.617000Z",
  "date_modified": "2026-03-02T18:01:21.617000Z",
  "file_hash": "87013a0985402b8e58108556671a19135485118c4cb474655e1c2e39a4cabf6d",
  "private": false,
  "record": {
    "abstract": "The Relationship between the Neumann system and the Jacobi system in\narbitrary dimensions is elucidated from the point of view of constrained\nHamiltonian systems. Dirac brackets for canonical variables of both systems are\nderived from the constrained Hamiltonians. The geodesic equations corresponding\nto the Rosochatius system are studied as an application of our method. As a\nconsequence a new class of nonlinear integrable equations is derived along with\ntheir conserved quantities.",
    "arxiv_id": "physics/9710016",
    "authors": [
      "Reijiro Kubo",
      "Waichi Ogura",
      "Takesi Saito",
      "Yukinori Yasui"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "title": "Geodesic flows for the Neumann-Rosochatius systems",
    "url": "https://arxiv.org/abs/physics/9710016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "134b8da6-c3ba-43e6-b442-dd42c8abc076",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}