On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds
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Publication:2075838
zbMath1487.32196arXiv2003.01952MaRDI QIDQ2075838
The-Anh Ta, Wei-Guo Foo, Joël Merker
Publication date: 16 February 2022
Published in: The New York Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.01952
Related Items (2)
Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3
Cites Work
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- Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms
- The chains of left-invariant Cauchy-Riemann structures on \(SU(2)\)
- Classification of Levi degenerate homogeneous CR-manifolds in dimension 5
- Chains in CR geometry
- Normal form and two-dimensional chains of an elliptic CR manifold in \(\mathbb{C}^4\)
- Real hypersurfaces in complex manifolds
- A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\)
- Sur le groupe de la géométrie hyperspherique
- Parametric CR-umbilical locus of ellipsoids in \(\mathbb{C}^2\)
- On distinguished curves in parabolic geometries
- Equivalences of PDE systems associated to degenerate para-CR structures: foundational aspects
- Explicit absolute parallelism for 2-nondegenerate real hypersurfaces \(M^5 \subset \mathbb{C}^3\) of constant Levi rank 1
- Addendum to: ``Explicit absolute parallelism for 2-nondegenerate real hypersurfaces \(M^5 \subset {\mathbb{C}}^3\) of constant Levi rank 1
- New explicit Lorentzian Einstein-Weyl structures in 3-dimensions
- Normal forms for rigid \(\mathfrak{C}_{2,1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\)
- Lie symmetries and CR geometry
- On the geometry of chains
- Chains in CR geometry as geodesics of a Kropina metric
- The Equivalence Problem for Five-dimensional Levi Degenerate CR Manifolds
- CR-manifolds of dimension 5: A Lie algebra approach
- Chain-Preserving Diffeomorphisms and CR Equivalence
- Chains, Null-Chains, and CR Geometry
- Three-dimensional Cauchy–Riemann structures and second-order ordinary differential equations
- On differential invariants of parabolic surfaces
- Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $
- Structure equations of Levi degenerate CR hypersurfaces of uniform type
- The Cartan equivalence problem for Levi-non-degenerate real hypersurfaces $ M^3\subset\mathbb C^2$
- Theory of Transformation Groups I
- A Lie-theoretic Construction of Cartan-Moser Chains
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