{
  "id": "2107.02309",
  "version": "v1",
  "published": "2021-07-05T22:44:25.000Z",
  "updated": "2021-07-05T22:44:25.000Z",
  "title": "Linear connections and shape maps for second order ODEs\\\\ with and without constraints",
  "authors": [
    "G. E. Prince",
    "M. Farré Puiggalí",
    "D. J. Saunders",
    "D. Martín de Diego"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We deal with the construction of linear connections associated with second order ordinary differential equations with and without first order constraints. We use a novel method allowing glueing of submodule covariant derivatives to produce new, closed form expressions for the Massa-Pagani connection and our extension of it to the constrained case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-05T22:44:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A26",
      "53C05",
      "70G45",
      "34C40",
      "53B05"
    ],
    "keywords": [
      "linear connections",
      "shape maps",
      "second order ordinary differential equations",
      "first order constraints",
      "submodule covariant derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}