Pith. sign in

REVIEW 1 cited by

Convergence of Riemannian 2-manifolds under a uniform curvature and contractibility bound

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2501.06351 v1 pith:UFGRTDYP submitted 2025-01-10 math.MG math.DG

Tobias Dott This is my paper · ORCID
classification math.MGmath.DG
keywords manifoldsconnectedcurvatureriemanniansequencesuniformlyabsoluteassume
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider uniformly semi-locally 1-connected sequences of closed connected Riemannian 2-manifolds. In particular, we assume that the manifolds are homeomorphic to each other and that their total absolute curvature is uniformly bounded. The purpose of this paper is a description of the Gromov-Hausdorff limits of such sequences. Our work extends earlier investigations by Burago and Shioya.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Regularity of Resolutions and Limits of Manifolds with a Uniform Contractibility Function

    math.MG 2025-07 conditional novelty 7.0 of 10

    If a compact ANR is a Gromov-Hausdorff limit of closed n-manifolds with bounded contractibility functions, then it is an open cell-like image of each sufficiently close approximating manifold, resolving Moore's conjec...

Pith tools