Corrupted Differential-Geometry Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied local registry record for permanent UnsolvedMath ID $30006410$, source code catalogue entry, contains a damaged table-of-contents fragment rather than an identifiable conjecture. Its transcription begins with the isolated word "Conjecture" and page number 1609, followed by several contribution titles and their authors. No mathematical proposition, definitions, domains, hypotheses, boundary conditions, quantifiers, or conclusion can be recovered from this evidence. Consequently, no precise mathematical statement is asserted here. The contribution titles listed in Sources do not determine the intended problem or its attribution.

The supplied record labels the statement unrecoverable and supplies no clean statement. Its verification note reports that the official report confirms the extraction is a damaged contents listing, that no separate clean statement is promoted, and that the original record remains publicly visible for provenance. These are supplied verification claims, not independent verification performed for this draft. The registry's open status and its dated literature assessment must likewise be read as supplied curation labels, not as verified mathematical facts about an identifiable conjecture.

Short English statement

The supplied record for UnsolvedMath ID $30006410$ is a corrupted contents listing. It does not specify a mathematical problem. A reliable problem statement and its attribution are needed before definitions or quantifiers can be formalized; the supplied open label does not resolve this missing information.

Sources

• Local UnsolvedMath registry: permanent ID $30006410$, exact source code catalogue entry, title "Corrupted Differential-Geometry Contents Fragment," in the collection "Oberwolfach Reports Open Problems." The supplied proposed year is 2025; no proposer is identified. The collection describes its records as open and partially solved problems extracted from workshop discussions, with report provenance and dated literature assessments.
• Supplied report citation: Differentialgeometrie im Großen (2026), Oberwolfach Reports, DOI 10.4171/owr/2025/30, pp. 1591--1646. Supplied source URL: https://doi.org/10.4171/owr/2025/30. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. This report citation supplies provenance for the fragment, but no authoritative citation identifying a particular mathematical proposition is supplied.
• Supplied literature source: "Oberwolfach Report 30/2025," https://doi.org/10.4171/owr/2025/30. Literature assessment date: 2026-08-22. This is supplied dated curation, not independently verified. Its status is "open," and its assessment says the extracted record is a table-of-contents fragment ending at the word "conjecture" and contains no identifiable mathematical proposition to verify. The background calls this a dated literature triage derived from supplied OWR curation and requests independent verification of time-sensitive status and cited claims.
• Contents-fragment attribution, retained solely as provenance: the isolated "Conjecture" is associated with page 1609, without an identifiable author or statement. The following entries appear in the supplied transcription:
  • Yi Lai, joint with Otis Chodosh and Kai Xu: "3-Manifolds with positive scalar curvature and bounded geometry," p. 1610.
  • Claude LeBrun: "Einstein Constants and Differential Topology," p. 1612.
  • Yang Li: "Large mass limit of $G_2$ and Calabi-Yau monopoles," p. 1616.
  • Yangyang Li, joint with Adrian Chun-Pong Chu and Zhihan Wang: "Constructing minimal surfaces of prescribed genus in closed Riemannian 3-spheres with positive Ricci curvature," p. 1617.
  • Jason D. Lotay, joint with Aaron Kennon and Jakob Stein: "Einstein metrics, $G_2$ geometry and geometric flows," p. 1618.
  • Alexander Lytchak, joint with Manuel Krannich and Marco Radeschi: "A finiteness theorem for isoparametric foliations," p. 1620.
  • Jared Marx-Kuo: "An Overview of Gromov's $p$-widths and Their Applications," p. 1621.
  • Damaris Meier, joint with Noa Vikman and Stefan Wenger: "Energy minimizing harmonic 2-spheres in metric spaces," p. 1624.
  The transcription ends with "Workshop: Differentialgeometrie im Großen Table of Contents." None of these contents entries establishes authorship of the isolated conjecture.