{
  "id": "1210.8419",
  "version": "v2",
  "published": "2012-10-31T17:59:35.000Z",
  "updated": "2014-01-13T20:10:29.000Z",
  "title": "Deformations of Non-Compact, Projective Manifolds",
  "authors": [
    "Samuel A. Ballas"
  ],
  "comment": "28 pages, 1 figure corrected typos, added references, incorporated referee suggestions, strengthened conclusion of main result and fixed small gap in its proof",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we demonstrate that the complete hyperbolic structure of various two-bridge knots and links cannot be deformed to an inequivalent strictly convex projective structure. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit non-trivial, strictly convex deformations near their complete hyperbolic structure.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-13T20:10:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "projective manifolds",
      "complete hyperbolic structure",
      "amphicheiral knots admit non-trivial",
      "non-compact",
      "inequivalent strictly convex projective structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.8419B"
    }
  }
}