Infinitesimal CR Automorphisms of Real Hypersurfaces

DOI10.1353/ajm.1996.0005zbMath0849.32012OpenAlexW2025302645MaRDI QIDQ4875704

Nancy K. Stanton

Publication date: 24 April 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.1.html

zbMATH Keywords

real hypersurfacefinite typeholomorphic nondegeneracy

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (33)

Infinitesimal CR automorphisms and stability groups of infinite-type models in \(\mathbb{C}^2\) ⋮ Remarks on the symmetries of a model hypersurface ⋮ Remarks on the rank properties of formal CR maps ⋮ Algebraicity of holomorphic mappings between real algebraic sets in \(\mathbb{C}^ n\) ⋮ A complete normal form for everywhere Levi-degenerate hypersurfaces in \(\mathbb{C}^3\) ⋮ Nowhere minimal CR submanifolds and Levi-flat hypersurfaces ⋮ Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds ⋮ Polynomial model \textit{CR}-manifolds with the rigidity condition ⋮ Nonlinearizable CR automorphisms for polynomial models in \(\mathbb{C}^N\) ⋮ On holomorphic automorphisms of a class of non-homogeneous rigid hypersurfaces in \(\mathbb C^{N+1}\) ⋮ Reflection ideals and mappings between generic submanifolds in complex space ⋮ Lie symmetries and CR geometry ⋮ On the local geometry of generic submanifolds of \(\mathbb C^n\) and the analytic reflection principle. I. ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ Cubic model \(CR\)-manifolds without the assumption of complete nondegeneracy ⋮ Chern-Moser operators and polynomial models in CR geometry ⋮ Local geometric properties of real submanifolds in complex space ⋮ Determination of formal CR mappings by a finite jet ⋮ Formal versus analytic CR mappings ⋮ Explicit bounds for the finite jet determination problem ⋮ Higher order symmetries of real hypersurfaces in ℂ³ ⋮ On dimensions of the groups of biholomorphic automorphisms of real-analytic hypersurfaces ⋮ On formal maps between generic submanifolds in complex space ⋮ Complex analysis. Transl. from the Russian ⋮ Parametrization of local CR automorphisms by finite jets and applications ⋮ Two decades of finite jet determination of CR mappings ⋮ Uniformly Levi degenerate CR manifolds: The 5-dimensional case ⋮ On the CR automorphism group of a certain hypersurface of infinite type in ℂ² ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Geometric properties and related results for holomorphic Segre preserving maps ⋮ Infinitesimal symmetries of weakly pseudoconvex manifolds ⋮ Study of the analytic regularity of formal CR reflection mappings ⋮ On the local algebraizibility of real analytic generic submanifolds in \(\mathbb{C}^n\)

This page was built for publication: Infinitesimal CR Automorphisms of Real Hypersurfaces