Uniformly Levi degenerate CR manifolds: The 5-dimensional case
From MaRDI portal
Publication:1847869
DOI10.1215/S0012-7094-01-11012-0zbMath1020.32029arXivmath/9905163MaRDI QIDQ1847869
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9905163
continuation principle for CR mappingsCR manifolds of hypersurface typeexistence of a CR diffeomorphism
Real submanifolds in complex manifolds (32V40) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)
Related Items (13)
CR-manifolds of dimension 5: A Lie algebra approach ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ On local CR-transformations of Levi-degenerate group orbits in compact Hermitian symmetric spaces ⋮ Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries ⋮ Regularity of mappings into classical domains ⋮ A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\) ⋮ Erratum to: ``A new example of a uniformly Levi degenerate hypersurface in \(\mathbb C^3\) ⋮ Canonical Cartan connection and holomorphic invariants on Engel CR manifolds ⋮ 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 ⋮ Parametrization of local CR automorphisms by finite jets and applications ⋮ Correction to ``Uniformly Levi degenerate CR manifolds: the 5-dimensional case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Geometric properties of mappings between hypersurfaces in complex space
- On the analyticity of CR mappings
- Germs of CR maps between real analytic hypersurfaces
- Local regularity of CR homeomorphisms
- On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
- A construction of normal forms for weakly pseudoconvex CR manifolds in \(C^ 2\).
- Remarks on the generic rank of a CR mapping
- Real hypersurfaces in complex manifolds
- Local biholomorphic straightening of real submanifolds
- Pseudo-hermitian structures on a real hypersurface
- On the complete system of finite order for CR mappings and its application
- Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
- The equivalence problem for higher-codimensional CR structures
- Complete differential system for the mappings of CR manifolds of nondegenerate Levi forms
- Parabolic geometries and canonical Cartan connections
- New invariant tensors in CR structures and a normal form for real hypersurfaces at a generic Levi degeneracy
- Regularity of CR mappings between algebraic hypersurfaces
- A generalized complex Hopf lemma and its applications to CR mappings
- On generalized graded Lie algebras and geometric structures. I
- Normal forms and biholomorphic equivalence of real hypersurfaces in C^3
- INVARIANTS OF ELLIPTIC AND HYPERBOLIC CR-STRUCTURES OF CODIMENSION 2
- Holomorphic Extension of Solutions of Elliptic Partial Differential Equations and a Complex Huygens' Principle
- Infinitesimal CR Automorphisms of Rigid Hypersurfaces
- Infinitesimal CR Automorphisms of Real Hypersurfaces
- Symplectic Geometry
- The geometry of hyperbolic and elliptic CR-manifolds of codimension two
- Automorphisms of 2-nondegenerate hypersurfaces in \(\mathbb{C}^3\)
This page was built for publication: Uniformly Levi degenerate CR manifolds: The 5-dimensional case
