{
  "id": "2304.13975",
  "version": "v1",
  "published": "2023-04-27T06:47:53.000Z",
  "updated": "2023-04-27T06:47:53.000Z",
  "title": "Prescribing Chern scalar curvatures on noncompact manifolds",
  "authors": [
    "Di Wu",
    "Xi Zhang"
  ],
  "categories": [
    "math.DG",
    "math.AP"
  ],
  "abstract": "In this paper, we investigate the noncompact prescribed Chern scalar curvature problem which reduces to solve a Kazdan-Warner type equation on noncompact non-K\\\"{a}hler manifolds. By introducing an analytic condition on noncompact manifolds, we establish related existence results. As its another application, we further give a new proof of a classical multiplicity theorem of W.M. Ni.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-27T06:47:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "53A30",
      "53C55"
    ],
    "keywords": [
      "prescribing chern scalar curvatures",
      "noncompact manifolds",
      "prescribed chern scalar curvature problem",
      "noncompact prescribed chern scalar curvature",
      "kazdan-warner type equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}