Pith. sign in

REVIEW 1 cited by

Constant Curvature Models in Sub-Riemannian Geometry

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 1712.10278 v2 pith:4XQH4CRG submitted 2017-12-29 math.DG

D. Alekseevsky , A. Medvedev , J. Slovak This is my paper · ORCID
classification math.DG
keywords sub-riemannianconstantcurvaturegeometriesstructurebackgrounddistributiongeometry
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Each sub-Riemannian geometry with bracket generating distribution enjoys a background structure determined by the distribution itself. At the same time, those geometries with constant sub-Riemannian symbols determine a unique Cartan connection leading to their principal invariants. We provide cohomological description of the structure of these curvature invariants in the cases where the background structure is one of the parabolic geometries. As an illustration, constant curvature models are discussed for certain sub-Riemannian geometries.

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. Geometric control theory of vertical rolling disc using symmetries

    math.DG 2019-08 conditional novelty 3.0 of 10

    Explicit sub-Riemannian geodesics for the Heisenberg approximation of the rolling disc, with the first cut point derived from the isotropy symmetry.

Pith tools