{
  "id": "1903.09092",
  "version": "v1",
  "published": "2019-03-18T12:59:57.000Z",
  "updated": "2019-03-18T12:59:57.000Z",
  "title": "Variation of the first eigenvalue of $(p,q)$-Laplacian along the Ricci-harmonic flow",
  "authors": [
    "Shahroud Azami"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we study monotonicity for the first eigenvalue of a class of $(p,q)$-Laplacian. We find the first variation formula for the first eigenvalue of $(p,q)$-Laplacian on a closed Riemannian manifold evolving by the Ricci-harmonic flow and construct various monotic quantities by imposing some conditions on initial manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-18T12:59:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first eigenvalue",
      "ricci-harmonic flow",
      "first variation formula",
      "study monotonicity",
      "initial manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}