{
  "id": "2408.09405",
  "version": "v1",
  "published": "2024-08-18T08:32:24.000Z",
  "updated": "2024-08-18T08:32:24.000Z",
  "title": "Boundary determination of the Riemannian metric from Cauchy data for the Stokes equations",
  "authors": [
    "Xiaoming Tan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "For a compact connected Riemannian manifold of dimension $n$ with smooth boundary, $n\\geqslant 2$, we prove that the Cauchy data (or the Dirichlet-to-Neumann map) for the Stokes equations uniquely determines the partial derivatives of all orders of the metric on the boundary of the manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-18T08:32:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cauchy data",
      "riemannian metric",
      "boundary determination",
      "compact connected riemannian manifold",
      "stokes equations uniquely determines"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}