Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $

DOI10.33205/cma.943426OpenAlexW3199427437MaRDI QIDQ5077107

Wei-Guo Foo, Joël Merker

Publication date: 17 May 2022

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.02028

zbMATH Keywords

G-structuresCartan method of equivalenceCartan lemma2-nondegeneracyLevi degenerate CR manifoldsPocchiola invariants

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Local submanifolds (53B25) Differential invariants (local theory), geometric objects (53A55) Extension of functions and other analytic objects from CR manifolds (32V25) (G)-structures (53C10)

Related Items (7)

Rigid Levi degenerate hypersurfaces with vanishing CR-curvature ⋮ Addendum to: ``Explicit absolute parallelism for 2-nondegenerate real hypersurfaces \(M^5 \subset {\mathbb{C}}^3\) of constant Levi rank 1 ⋮ Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces ⋮ Rigid biholomorphic equivalences of rigid \(\mathfrak{C}_{2 , 1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\) ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ 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

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