{
  "id": "1103.5263",
  "version": "v1",
  "published": "2011-03-08T15:17:39.000Z",
  "updated": "2011-03-08T15:17:39.000Z",
  "title": "Rotations in three, four, and five dimensions",
  "authors": [
    "Jason Hanson"
  ],
  "categories": [
    "math.MG"
  ],
  "abstract": "The geometry of rotations in dimensions 3, 4, and 5 is discussed using the matrix exponential map. Explicit closed formulas for the exponential of an antisymmetric matrix, as well as the logarithm of a rotation, are given for these dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-08T15:17:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B10"
    ],
    "keywords": [
      "dimensions",
      "matrix exponential map",
      "explicit closed formulas",
      "antisymmetric matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5263H"
    }
  }
}