{
  "id": "1308.6597",
  "version": "v1",
  "published": "2013-08-29T20:26:26.000Z",
  "updated": "2013-08-29T20:26:26.000Z",
  "title": "Sectional-Anosov flows in higher dimensions",
  "authors": [
    "A. M. López"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "A sectional-Anosov flow on a manifold M is a C^1 vector field inwardly transverse to the boundary for which the maximal invariant is sectional-hyperbolic. We prove that every attractor of every vector field C^1 close to a transitive sectional-Anosov flow with singularities on a compact manifold has a singularity. This extends the three-dimensional result obtained in [Morales, C.A., The explosion of singular-hyperbolic attractors].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-29T20:26:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher dimensions",
      "vector field inwardly transverse",
      "singular-hyperbolic attractors",
      "three-dimensional result",
      "singularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.6597L"
    }
  }
}