CR-manifolds of dimension 5: A Lie algebra approach
From MaRDI portal
Publication:3445249
DOI10.1515/CRELLE.2007.019zbMath1128.32023arXivmath/0508011OpenAlexW2963569031WikidataQ115236905 ScholiaQ115236905MaRDI QIDQ3445249
Publication date: 8 June 2007
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0508011
Differential geometry of homogeneous manifolds (53C30) Real submanifolds in complex manifolds (32V40) Embeddings of CR manifolds (32V30)
Related Items (25)
Rigid Levi degenerate hypersurfaces with vanishing CR-curvature ⋮ Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\) ⋮ Differentiall $ {e} $-structures for equivalences of $ 2 $-nondegenerate Levi rank $ 1 $ hypersurfaces $ M_5 ⊂ \mathbb{C} $ ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ A complete normal form for everywhere Levi-degenerate hypersurfaces in \(\mathbb{C}^3\) ⋮ Homogeneous models for Levi degenerate CR manifolds ⋮ Classification of homogeneous CR-manifolds in dimension 4 ⋮ 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 ⋮ Lie-Cartan differential invariants and Poincaré-Moser normal forms: Conflunces ⋮ Five-dimensional para-CR manifolds and contact projective geometry in dimension three ⋮ Homogeneous CR and Para-CR structures in dimensions 5 and 3 ⋮ Normal forms for rigid \(\mathfrak{C}_{2,1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\) ⋮ Erratum to: ``A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\) ⋮ Lie symmetries and CR geometry ⋮ Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic ⋮ On orbits of action of 5-dimensional non-solvable Lie algebras in three-dimensional complex space ⋮ Rationality in Differential Algebraic Geometry ⋮ Classification of Levi degenerate homogeneous CR-manifolds in dimension 5 ⋮ Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation ⋮ A Cauchy–Kowalevsky Theorem for Overdetermined Systems of Nonlinear Partial Differential Equations and Geometric Applications ⋮ On convergent Poincaré-Moser reduction for Levi degenerate embedded 5-dimensional CR manifolds ⋮ On CR maps from the sphere into the tube over the future light cone ⋮ The sphere in \(\mathbf{C}^2\) as a model surface for degenerate hypersurfaces in \(\mathbf{C}^3\) ⋮ Correction to ``Uniformly Levi degenerate CR manifolds: the 5-dimensional case
Cites Work
- On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces
- Real hypersurfaces in complex manifolds
- Spherical hypersurfaces in complex manifolds
- A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\)
- On the holomorphic structure of \(G\)-orbits in compact Hermitian symmetric spaces
- Uniformly Levi degenerate CR manifolds: The 5-dimensional case
- Symmetries of real hypersurfaces in complex 3-space
- Diskontinuierliche Gruppen in symmetrischen Räumen. I
- Normal forms and biholomorphic equivalence of real hypersurfaces in C^3
- Automorphisms of 2-nondegenerate hypersurfaces in \(\mathbb{C}^3\)
This page was built for publication: CR-manifolds of dimension 5: A Lie algebra approach
