A Normal Form for Rigid Hypersurfaces in C 2

DOI10.2307/2374789zbMath0741.32006OpenAlexW2329144813MaRDI QIDQ3982663

Nancy K. Stanton

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.2307/2374789

zbMATH Keywords

homogeneous hypersurfacerigid normal formrigid analytic real hypersurface

Mathematics Subject Classification ID

Complex manifolds (32Q99) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (16)

Explicit description of spherical rigid hypersurfaces in \(\mathbb C^2\) ⋮ Rigid Levi degenerate hypersurfaces with vanishing CR-curvature ⋮ Local symmetries of finite type hypersurfaces in \(\mathbb C^2\) ⋮ Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola's invariants ⋮ Rigid biholomorphic equivalences of rigid \(\mathfrak{C}_{2 , 1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\) ⋮ Normal forms in Cauchy-Riemann geometry ⋮ Rigid embeddings of Sasakian hyperquadrics in \(\mathbb {C}^{n+1}\) ⋮ Normal form for infinite type hypersurfaces in \(\mathbb C^2\) with nonvanishing Levi form derivative ⋮ Local equivalence of symmetric hypersurfaces in~$\mathbb C^2$ ⋮ Local geometric properties of real submanifolds in complex space ⋮ The zero curvature equation for rigid CR-manifolds ⋮ Sphericity of rigid hypersurfaces in \(\mathbb{C}^2\) ⋮ On the real-analyticity of rigid spherical hypersurfaces in ℂ² ⋮ Rigid hypersurfaces and infinitesimal CR automorphisms ⋮ On the classification of -dimensional spherical Sasakian manifolds ⋮ Infinitesimal CR automorphisms of rigid hypersurfaces in \({\mathbb{C}}^ 2\)

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