Pith. sign in

REVIEW 1 cited by

Remarks on manifolds with two sided curvature bounds

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 2101.03050 v1 pith:DRXENW2U submitted 2021-01-08 math.DG math.MG

Vitali Kapovitch , Alexander Lytchak This is my paper · ORCID
classification math.DGmath.MG
keywords curvaturemanifoldssidedboundedboundsdiscussdistancefolklore
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We discuss folklore statements about distance functions in manifolds with two sided bounded curvature. The topics include regularity, subsets of positive reach and the cut locus.

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. Total curvature and the isoperimetric inequality in Cartan-Hadamard manifolds

    math.DG 2019-08 accept novelty 7.0 of 10

    The paper proves in all dimensions that the total curvature inequality implies the isoperimetric inequality in Cartan-Hadamard manifolds, and establishes a new comparison formula for total curvature of level sets.

Pith tools