{
  "id": "1706.08294",
  "version": "v1",
  "published": "2017-06-26T09:13:47.000Z",
  "updated": "2017-06-26T09:13:47.000Z",
  "title": "An integral formula for Riemannian $G$-structures with applications to almost hermitian and almost contact structures",
  "authors": [
    "Kamil Niedzialomski"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "For a Riemannian $G$-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we interpret in certain cases. We focus on almost harmitian and almost contact metric structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-26T09:13:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral formula",
      "contact structures",
      "applications",
      "contact metric structures",
      "vector field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}