Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel

DOI10.1007/s00031-022-09739-3arXiv2102.08599OpenAlexW3129778045MaRDI QIDQ6192567

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Publication date: 11 March 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.08599

zbMATH Keywords

Tanaka prolongationhomogeneous models2-nondegenerate CR structurescanonical forms in linear and multilinear algebrainfinitesimal symmetry algebra

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Real submanifolds in complex manifolds (32V40) CR structures, CR operators, and generalizations (32V05) Canonical forms, reductions, classification (15A21)

Cites Work

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• Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms
• On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
• On Tanaka's prolongation procedure for filtered structures of constant type
• On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
• Real hypersurfaces in complex manifolds
• Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation
• A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator
• Explicit absolute parallelism for 2-nondegenerate real hypersurfaces \(M^5 \subset \mathbb{C}^3\) of constant Levi rank 1
• Tanaka structures (non holonomic \(G\)-structures) and Cartan connections
• On differential systems, graded Lie algebras and pseudo-groups
• The Equivalence Problem for Five-dimensional Levi Degenerate CR Manifolds
• Modification of Poincaré's construction and its application in $CR$-geometry of hypersurfaces in $\mathbf{C}^4$