{
  "id": "0708.2029",
  "version": "v1",
  "published": "2007-08-15T11:00:20.000Z",
  "updated": "2007-08-15T11:00:20.000Z",
  "title": "Curvature flows on four manifolds with boundary",
  "authors": [
    "Cheikh Birahim Ndiaye"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "Given a compact four dimensional smooth Riemannian manifold $(M,g)$ with smooth boundary, we consider the evolution equation by $Q$-curvature in the interior keeping the $T$-curvature and the mean curvature to be zero and the evolution equation by $T$-curvature at the boundary with the condition that the $Q$-curvature and the mean curvature vanish. Using integral method, we prove global existence and convergence for the $Q$-curvature flow (resp $T$-curvature flow) to smooth metric of prescribed $Q$-curvature (resp $T$-curvature) under conformally invariant assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-15T11:00:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B33",
      "53A30"
    ],
    "keywords": [
      "curvature flow",
      "evolution equation",
      "mean curvature",
      "dimensional smooth riemannian manifold",
      "integral method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.2029B"
    }
  }
}