Pith. sign in

REVIEW

Rigidity of equality cases in Steiner's perimeter inequality

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 1309.1639 v1 pith:KJCKJUS2 submitted 2013-09-06 math.AP math.MGmath.OC

Filippo Cagnetti , Maria Colombo , Guido De Philippis , Francesco Maggi This is my paper
classification math.APmath.MGmath.OC
keywords casesequalityperimeterrigiditysteinerinequalityachieveanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Characterization results for equality cases and for rigidity of equality cases in Steiner's perimeter inequality are presented. (By rigidity, we mean the situation when all equality cases are vertical translations of the Steiner's symmetral under consideration.) We achieve this through the introduction of a suitable measure-theoretic notion of connectedness and a fine analysis of barycenter functions for sets of finite perimeter having segments as orthogonal sections with respect to an hyperplane.

Discussion (0). Sign in to comment.

Pith tools