{
  "id": "2210.09270",
  "version": "v1",
  "published": "2022-10-17T17:20:26.000Z",
  "updated": "2022-10-17T17:20:26.000Z",
  "title": "Multiplicity Theorems for Frechet Manifolds",
  "authors": [
    "Kaveh Eftekharinasab"
  ],
  "comment": "To appear in Reports of the National Academy of Sciences of Ukraine. arXiv admin note: text overlap with arXiv:2205.01359",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove multiplicity theorems for Keller $ C_c^1 $-functionals on Frechet spaces and Finsler manifolds which are invariant under the action of a discrete subgroup. For such functionals, we evaluate the minimal number of critical points by applying the Lusternik-Schnirelmann category.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-17T17:20:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiplicity theorems",
      "frechet manifolds",
      "lusternik-schnirelmann category",
      "finsler manifolds",
      "functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}