{
  "annotation_id": "e77ee6d3-bc1a-44db-af93-5676d8427614",
  "date_created": "2026-02-17T05:53:08.622000Z",
  "date_modified": "2026-02-17T05:53:08.622000Z",
  "file_hash": "a1ed32b6a2d319a720ff5059f46ab2072a733c165da98bd41f942afb8f54109f",
  "private": false,
  "record": {
    "abstract": "Gromov conjectured that the total mean curvature of the boundary of a compact Riemannian manifold can be estimated from above by a constant depending only on the boundary metric and on a lower bound for the scalar curvature of the fill-in. We prove Gromov\u0027s conjecture if the manifolds are spin and the mean curvature is non-negative.",
    "arxiv_id": "2601.06713",
    "authors": [
      "Christian Baer"
    ],
    "categories": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Upper bound for the total mean curvature of spin fill-ins",
    "url": "https://arxiv.org/abs/2601.06713",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9a597402-498e-4caf-8cd9-cbcb9cf2bd68",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}