{
  "id": "1303.6504",
  "version": "v1",
  "published": "2013-03-26T14:17:55.000Z",
  "updated": "2013-03-26T14:17:55.000Z",
  "title": "Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds",
  "authors": [
    "Marco Ghimenti",
    "Anna Maria Micheletti"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Let $M$ be a compact smooth Riemannian manifold of finite dimension $n+1$ with boundary $\\partial M$and $\\partial M$ is a compact $n$-dimensional submanifold of $M$. We show that for generic Riemannian metric $g$, all the critical points of the mean curvature of $\\partial M$ are nondegenerate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-26T14:17:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean curvature",
      "critical points",
      "compact smooth riemannian manifold",
      "nondegeneracy",
      "generic riemannian metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.6504G"
    }
  }
}