A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\)

DOI10.1007/BF02384568zbMath1039.32045OpenAlexW4240198411MaRDI QIDQ1426922

Hervé Gaussier, Joël Merker

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384568

zbMATH Keywords

uniformly Levi degenerate hypersurface in \(\mathbb C^3\)

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (9)

CR-manifolds of dimension 5: A Lie algebra approach ⋮ Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries ⋮ 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 ⋮ Erratum to: ``A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\) ⋮ Lie symmetries and CR geometry ⋮ Classification of Levi degenerate homogeneous CR-manifolds in dimension 5 ⋮ Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects ⋮ On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds

Cites Work

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• Real hypersurfaces in complex manifolds
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• Uniformly Levi degenerate CR manifolds: The 5-dimensional case
• Shorter Notes: The Levi Form and Local Complex Foliations
• Segre varieties and Lie symmetries

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