{
  "id": "2106.10833",
  "version": "v1",
  "published": "2021-06-21T03:50:31.000Z",
  "updated": "2021-06-21T03:50:31.000Z",
  "title": "Triviality results for quasi $k$-Yamabe solitons",
  "authors": [
    "Willian Tokura",
    "Elismar Batista",
    "Priscila Kai"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we show that any compact quasi $k$-Yamabe gradient solitons must have constant $\\sigma_{k}$-curvature. Moreover, we provide a certain condition for a compact quasi $k$-Yamabe soliton to be gradient, and for noncompact solitons, we present a geometric rigidity under a decaiment condition on the norm of the soliton field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-21T03:50:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "yamabe soliton",
      "triviality results",
      "compact quasi",
      "yamabe gradient solitons",
      "soliton field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}