{
  "abstract": "We show that Ekeland-type variational principles can be derived from steepest descent curves in metric spaces. From this, we relate the existence of the Calabi flow to the validity of the Ekeland variational principle for the $K$-energy on the space of Kähler potentials.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.01262",
  "author_total": 1,
  "authors": [
    {
      "name": "Alberto Domínguez Corella"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1a6q9yvftr89z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.01262",
  "fulltext_url": null,
  "id": "1a6q9yvftr89z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.01262",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
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    [
      "arxiv",
      "math.FA"
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    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7172385388",
  "pdf_url": "https://arxiv.org/pdf/2608.01262",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1a6q9yvftr89z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2608.01262",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.01262"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Metric gradient flows and variational principles",
  "title_text": "Metric gradient flows and variational principles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/1a6q9yvftr89z",
  "venue": "arXiv",
  "versions": []
}