Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\)
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Publication:345321
DOI10.1007/s12220-015-9667-6zbMath1354.32013OpenAlexW2285110570MaRDI QIDQ345321
Publication date: 1 December 2016
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-015-9667-6
Real submanifolds in complex manifolds (32V40) Complex Lie groups, group actions on complex spaces (32M05) Exterior differential systems (Cartan theory) (58A15) (G)-structures (53C10)
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Homogeneous surfaces in \(\mathbb{C}^4\) associated with a 5-dimensional completely nondegenerate cubic model surface of CR-type \((1,3)\) ⋮ Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\) ⋮ Explicit expression of Cartan's connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere ⋮ Totally nondegenerate models and standard manifolds in CR dimension one ⋮ Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms ⋮ On propagation of sphericity of real analytic hypersurfaces across Levi degenerate loci ⋮ On the maximum conjecture ⋮ Convergent normal form for five dimensional totally nondegenerate CR manifolds in \(\mathbb{C}^4\) ⋮ Biholomorphic equivalence to totally nondegenerate model CR manifolds
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