{
  "id": "1904.09957",
  "version": "v1",
  "published": "2019-04-22T17:15:37.000Z",
  "updated": "2019-04-22T17:15:37.000Z",
  "title": "Higher Regularity of Weak Limits of Willmore Immersions II",
  "authors": [
    "Alexis Michelat",
    "Tristan Rivière"
  ],
  "comment": "19 pages, 1 figure",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "We obtain in arbitrary codimension a removability result on the order of singularity of Willmore surfaces realising the width of Willmore min-max problems on spheres. As a consequence, out of the twelve families of non-planar minimal surfaces in $\\mathbb{R}^3$ of total curvature greater than $-12\\pi$, only three of them may occur as conformal images of bubbles in Willmore min-max problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-22T17:15:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J35",
      "35R01",
      "49Q10",
      "53A05",
      "53A10",
      "53A30",
      "53C42",
      "58E15"
    ],
    "keywords": [
      "weak limits",
      "willmore immersions",
      "higher regularity",
      "willmore min-max problems",
      "non-planar minimal surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}