Canonical Cartan connection and holomorphic invariants on Engel CR manifolds

DOI10.1134/S106192080702001XzbMath1140.32024arXivmath/0508084OpenAlexW2094379007WikidataQ126247475 ScholiaQ126247475MaRDI QIDQ996555

Vladimir V. Ežov, Valeriĭ K. Beloshapka, Gerd Schmalz

Publication date: 21 September 2007

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508084

zbMATH Keywords

Cartan connectionEngel distributionhigher codimension CR structure

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR structures, CR operators, and generalizations (32V05) Other connections (53B15) Vector distributions (subbundles of the tangent bundles) (58A30) Other special differential geometries (53A40)

Related Items (12)

Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\) ⋮ Classification of homogeneous CR-manifolds in dimension 4 ⋮ Explicit expression of Cartan's connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere ⋮ Moduli spaces of model real submanifolds: two alternative approaches ⋮ Effective Cartan-Tanaka connections for \(\mathcal C^6\)-smooth strongly pseudoconvex hypersurfaces \(M^3 \subset \mathbb C^2\) ⋮ Normal forms in Cauchy-Riemann geometry ⋮ Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms ⋮ A Gröbner-bases algorithm for the computation of the cohomology of Lie (super) algebras ⋮ Lie symmetries and CR geometry ⋮ Rationality in Differential Algebraic Geometry ⋮ Vitushkin's germ theorem for Engel-type CR manifolds ⋮ Convergent normal form and canonical connection for hypersurfaces of finite type in \(\mathbb{C}^2\)

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