{
  "annotation_id": "9a916de5-63c0-4207-9730-bf5f61f80bc3",
  "date_created": "2026-03-02T18:00:56.940000Z",
  "date_modified": "2026-03-02T18:00:56.940000Z",
  "file_hash": "d4950873f38223a6d5d3ad37a6eca36af4ac6f2153756df61d23ff15056f7956",
  "private": false,
  "record": {
    "abstract": "The Navier-Stokes equations are considered by the use of the method of\nLagrangians with covariant derivatives (MLCD) over spaces with affine\nconnections and metrics. It is shown that the Euler-Lagrange equations appear\nas sufficient conditions for the existence of solutions of the Navier-Stokes\nequations over (pseudo) Euclidean and (pseudo) Riemannian spaces without\ntorsion. By means of the corresponding (n-1)+ 1 projective formalism the\nNavier-Stokes equations for radial and tangential accelerations are found.",
    "arxiv_id": "physics/0503094",
    "authors": [
      "Sawa Manoff"
    ],
    "categories": [
      "physics.flu-dyn",
      "gr-qc"
    ],
    "title": "Navier-Stokes\u0027 equations for radial and tangential accelerations",
    "url": "https://arxiv.org/abs/physics/0503094"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "af6d3b75-d470-457f-b84b-3de52c7467e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}