{
  "id": "1910.13558",
  "version": "v1",
  "published": "2019-10-29T21:59:38.000Z",
  "updated": "2019-10-29T21:59:38.000Z",
  "title": "Generalized $k$-contact structures",
  "authors": [
    "U. N. Matos de Almeida"
  ],
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "With the goal to study and better understand algebraic Anosov actions of $\\mathbb R^k$, we develop a higher codimensional analogue of the contact distribution on odd dimensional manifolds, call such structure a generalized $k$-contact structure. We show that there exist an $\\mathbb R^k$-action associated with this structure, afterwards, we relate this structure with the Weyl chamber actions and a few more general algebraic Anosov actions, proving that such actions admits a compatible generalized $k$-contact structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-29T21:59:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "contact structure",
      "better understand algebraic anosov actions",
      "general algebraic anosov actions",
      "higher codimensional analogue",
      "weyl chamber actions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}