{
  "id": "2405.13134",
  "version": "v1",
  "published": "2024-05-21T18:10:33.000Z",
  "updated": "2024-05-21T18:10:33.000Z",
  "title": "Estimates for modified $σ_{2}$ curvature equation on compact manifolds with boundary",
  "authors": [
    "Xuezhang Chen",
    "Wei Wei"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "We establish the global $C^2$-estimates for the modified $\\sigma_2$ curvature equation with prescribed boundary mean curvature, and particularly, the local boundary $C^2$ estimates on three-manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-21T18:10:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "curvature equation",
      "compact manifolds",
      "prescribed boundary mean curvature",
      "local boundary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}