{
  "abstract": "Let H^{n+1} be hyperbolic space of sectional curvature -1, with a fixed point o. We study the non-homogeneous curvature flow X_t=-f(r) sigma_k^{alpha} {nu} of smooth, closed, strictly h-convex hypersurfaces enclosing o, where r is the geodesic distance to o and alpha>0. The radial weight f is modeled on sinh^{beta}r; we treat both regimes: beta>1+k{alpha} and beta=1+k{alpha}. Under a structural condition of f, the flow exists smoothly for all time, preserves strict h-convexity, and contracts to o. The normalized radial function converges, exponentially in normalized time: to 1 and to a positive constant R_{infty} respectively in two different cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29199",
  "author_total": 3,
  "authors": [
    {
      "name": "Hongyi Sheng"
    },
    {
      "name": "Weimin Sheng"
    },
    {
      "name": "Jiazhuo Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/34m5rr2x8xnjk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29199",
  "fulltext_url": null,
  "id": "34m5rr2x8xnjk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29199",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7214313335",
  "pdf_url": "https://arxiv.org/pdf/2609.29199",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/34m5rr2x8xnjk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.29199",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29199"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Non-homogeneous curvature flows in hyperbolic space",
  "title_text": "Non-homogeneous curvature flows in hyperbolic space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/34m5rr2x8xnjk",
  "venue": "arXiv",
  "versions": []
}