Pith. sign in

REVIEW 1 cited by

Canonical Cartan connection for $4$-dimensional CR-manifolds belonging to general class ${\sf II}$

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 1405.1341 v1 pith:WLZFNWZO submitted 2014-05-05 math.CV math.DG

Samuel Pocchiola This is my paper · ORCID
classification math.CVmath.DG
keywords cr-manifoldscartanbiholomorphiccanonicalconnectiondimensionalengelequivalence
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We study the equivalence problem for $4$-dimensional CR-manifolds of CR-dimension $1$ and codimension $2$ which are referred to as Engel CR-manifolds. We construct a canonical Cartan connection on such CR-manifolds through Cartan equivalence's method. In particular, we give the explicit expression of $4$ biholomorphic invariants, the annulation of which is a necessary and sufficient condition for an Engel manifold to be locally biholomorphic to Beloshapka's cubic in $\mathbb{C}^3$.

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. Holomorphic immersions of bi-disks into $9$ dimensional real hypersurfaces with Levi signature $(2, 2)$

    math.DG 2019-08 conditional novelty 6.0 of 10

    Holomorphic bi-disks in 9-dimensional CR hypersurfaces with Levi signature (2,2) must satisfy two complex torsion equations, and a concrete hypersurface is shown to violate one of them.

Pith tools