{
  "id": "2402.11263",
  "version": "v1",
  "published": "2024-02-17T12:37:18.000Z",
  "updated": "2024-02-17T12:37:18.000Z",
  "title": "$C^1$ Pesin (un)stable manifold without domination",
  "authors": [
    "Yongluo Cao",
    "Zeya Mi",
    "Rui Zou"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For $C^1$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of Pesin (un)stable manifold under the hyperbolicity of invariant measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-02-17T12:37:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D05",
      "37D10",
      "37D25",
      "37D30"
    ],
    "keywords": [
      "stable manifold",
      "domination",
      "invariant measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}