Pith. sign in

REVIEW 3 cited by

On the converse of Pansu's Theorem

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 2211.06081 v1 pith:WDUS2R4L submitted 2022-11-11 math.MG math.APmath.CA

Guido De Philippis , Andrea Marchese , Andrea Merlo , Andrea Pinamonti , Filip Rindler This is my paper
classification math.MGmath.APmath.CA
keywords carnotgroupsmeasurespansuradontheoremabsolutelyalmost
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We provide a suitable generalisation of Pansu's differentiability theorem to general Radon measures on Carnot groups and we show that if Lipschitz maps between Carnot groups are Pansu-differentiable almost everywhere for some Radon measures $\mu$, then $\mu$ must be absolutely continuous with respect to the Haar measure of the group.

Discussion (0). Sign in to comment.

Forward citations

Cited by 3 Pith papers

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

  1. On the WALA conjecture, Alberti representations and applications

    math.MG 2026-05 conditional novelty 8.0 of 10

    Every α-AD-regular Radon measure satisfying the WALA condition for all real Lipschitz functions has integer dimension α and is uniformly rectifiable.

  2. On the WALA conjecture, Alberti representations and applications

    math.MG 2026-05 unverdicted novelty 6.0 of 10

    Claims to prove the WALA conjecture.

  3. Remarks on hypoelliptic equations

    math.AP 2023-02 unverdicted novelty 4.0 of 10

    Authors present examples and counterexamples to illustrate remaining open questions in hypoellipticity for systems and L^1 regularity.

Pith tools