{
  "id": "2201.06375",
  "version": "v2",
  "published": "2022-01-17T12:25:09.000Z",
  "updated": "2022-03-22T20:03:17.000Z",
  "title": "Eigenvalue estimates on weighted manifolds",
  "authors": [
    "Volker Branding",
    "Georges Habib"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and we provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for (f)-minimal hypersurfaces and the spectrum of the Hodge Laplacian.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-22T20:03:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "eigenvalue estimates",
      "weighted manifolds",
      "hodge laplacian",
      "jacobi operator",
      "geometric applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}