Pith. sign in

REVIEW 1 cited by

Spiraling of sub-Riemannian geodesics around the Reeb flow in the 3D contact case

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 2102.12741 v1 pith:MRPLRYLH submitted 2021-02-25 math.DG math.MGmath.SG

Yves Colin de Verdière (IF) , Luc Hillairet (IDP) , Emmanuel Trélat (LJLL (UMR_7598) , CaGE) This is my paper · ORCID
classification math.DGmath.MGmath.SG
keywords reebsub-riemannianaroundcontactgeodesicsspacealonganalysis
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We consider a closed three-dimensional contact sub-Riemannian manifold. The objective of this note is to provide a precise description of the sub-Riemannian geodesics with large initial momenta: we prove that they "spiral around the Reeb orbits", not only in the phase space but also in the configuration space. Our analysis is based on a normal form along any Reeb orbit due to Melrose.

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. Two-Stage Reasoning-Infused Learning: Improving Classification with LLM-Generated Reasoning

    cs.CL 2025-06 conditional novelty 4.0 of 10

    Training a generative classifier to output an LLM-generated reasoning before the emotion label improved emotion classification accuracy from 49.7% to 58.4% on the dair-ai/emotion test set.

Pith tools