{
  "id": "2104.12932",
  "version": "v1",
  "published": "2021-04-27T01:28:57.000Z",
  "updated": "2021-04-27T01:28:57.000Z",
  "title": "Automorphisms of projective manifolds",
  "authors": [
    "Aristide Tsemo"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Let $(M,P\\nabla_M)$ be a compact projective manifold and $Aut(M,P\\nabla_M)$ its group of automorphisms. The purpose of this paper is to study the topological properties of $(M,P\\nabla_M)$ if $Aut(M,P\\nabla_M))$ is not discrete by applying the results that I have shown in [13] and the Benzekri's functor which associates to a projective manifold a radiant affine manifold. This enables us to show that the orbits of the connected component of $Aut(M,P\\nabla_M)$ are immersed projective submanifolds. We also classify $3$-dimensional compact projective manifolds such that $dim(Aut(M,P\\nabla_M))\\geq 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-27T01:28:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphisms",
      "dimensional compact projective manifolds",
      "radiant affine manifold",
      "benzekris functor",
      "associates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}