Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation

DOI10.1515/crelle-2021-0012zbMath1487.32192arXiv1704.03999OpenAlexW3146237871MaRDI QIDQ2043612

Curtis Porter, Igor Zelenko

Publication date: 3 August 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03999

zbMATH Keywords

Tanaka theory2-nondegenerate CR-structures of hypersurface typereduction of CR-structures to absolute parallelisms

Mathematics Subject Classification ID

(G)-structures (53C10) Analysis on CR manifolds (32V20)

Related Items (10)

Rigid Levi degenerate hypersurfaces with vanishing CR-curvature ⋮ A complete normal form for everywhere Levi-degenerate hypersurfaces in \(\mathbb{C}^3\) ⋮ A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator ⋮ Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola's invariants ⋮ Explicit absolute parallelism for 2-nondegenerate real hypersurfaces \(M^5 \subset \mathbb{C}^3\) of constant Levi rank 1 ⋮ On geometry of 2-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations ⋮ Five-dimensional para-CR manifolds and contact projective geometry in dimension three ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel ⋮ On equivalence problem for 2-nondegenerate CR geometries with simple models

Cites Work

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