{
  "id": "1806.08189",
  "version": "v1",
  "published": "2018-06-21T12:05:48.000Z",
  "updated": "2018-06-21T12:05:48.000Z",
  "title": "A rigidity theorem for Hénon maps",
  "authors": [
    "Sayani Bera",
    "Ratna Pal",
    "Kaushal Verma"
  ],
  "comment": "19 pages",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "The purpose of this note is two fold. First, we study the relation between a pair of H\\'{e}non maps that share the same forward and backward non-escaping sets. Second, it is shown that there exists a continuum of $Short-\\mathbb{C}^2$'s that are biholomorphically inequivalent and finally, we provide examples of $Short-\\mathbb{C}^2$'s that are neither Reinhardt nor biholomorphic to Reinhardt domains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-21T12:05:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32H02",
      "32H50"
    ],
    "keywords": [
      "hénon maps",
      "rigidity theorem",
      "reinhardt domains",
      "backward non-escaping sets",
      "biholomorphically inequivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}