{
  "id": "1005.2206",
  "version": "v1",
  "published": "2010-05-12T20:58:57.000Z",
  "updated": "2010-05-12T20:58:57.000Z",
  "title": "Equivalent conditions for hyperbolicity on partially hyperbolic holomorphic map",
  "authors": [
    "Francisco Valenzuela Henriquez"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "Let $f:\\mathbb{C}\\sp n\\to\\mathbb{C}\\sp n$, $n\\geq2$, be a biholomorphism and let $\\Lambda\\subseteq \\mathbb{C}\\sp n$ be a compact $f$-invariant set such that $f|\\Lambda$ is partially hyperbolic. We give equivalent conditions to hyperbolicity on $\\Lambda$. In the particular case of generalized H\\'enon map with dominated splitting in the Julia set $J$, we characterize the hyperbolicity of $J$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-12T20:58:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D25",
      "37D30",
      "32M17"
    ],
    "keywords": [
      "partially hyperbolic holomorphic map",
      "equivalent conditions",
      "hyperbolicity",
      "julia set",
      "generalized henon map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.2206V"
    }
  }
}