{
  "id": "2010.13016",
  "version": "v1",
  "published": "2020-10-25T02:25:05.000Z",
  "updated": "2020-10-25T02:25:05.000Z",
  "title": "Lower bounds for the eigenvalue estimates of the submanifold Dirac operator",
  "authors": [
    "Yongfa Chen"
  ],
  "categories": [
    "math.DG",
    "math-ph",
    "math.MP",
    "math.SP"
  ],
  "abstract": "We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, one gets several known results in this direction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-25T02:25:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "submanifold dirac operator",
      "eigenvalue estimates",
      "optimal lower bounds",
      "locally reducible riemannian manifolds",
      "extrinsic expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}