Explicit description of spherical rigid hypersurfaces in \(\mathbb C^2\)

DOI10.1186/2197-120X-1-2zbMath1339.32015arXiv1305.4785OpenAlexW2062150027WikidataQ59433083 ScholiaQ59433083MaRDI QIDQ289639

Gerd Schmalz, Vladimir V. Ežov

Publication date: 30 May 2016

Published in: Differential Geometry and its Applications, Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4785

zbMATH Keywords

normal formrigid CR manifoldsspherical CR manifoldszero curvatureHeisenberg sphererigid normal form

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) CR structures, CR operators, and generalizations (32V05)

Related Items (7)

Rigid Levi degenerate hypersurfaces with vanishing CR-curvature ⋮ Zero CR-curvature equations for Levi degenerate hypersurfaces via Pocchiola's invariants ⋮ Rigid biholomorphic equivalences of rigid \(\mathfrak{C}_{2 , 1}\) hypersurfaces \(M^5 \subset \mathbb{C}^3\) ⋮ Rigid embeddings of Sasakian hyperquadrics in \(\mathbb {C}^{n+1}\) ⋮ The zero curvature equation for rigid CR-manifolds ⋮ On the real-analyticity of rigid spherical hypersurfaces in ℂ² ⋮ On the classification of -dimensional spherical Sasakian manifolds

Cites Work

• Unnamed Item
• CR structures with group action and extendability of CR functions
• Real hypersurfaces in complex manifolds
• The decidability of the \(\forall ^*\exists\) class and the axiom of foundation
• The generalized Taub-NUT congruence in Minkowski space
• Spherical tube hypersurfaces
• Local equivalence of symmetric hypersurfaces in~$\mathbb C^2$
• A Normal Form for Rigid Hypersurfaces in C 2
• Normal forms and symmetries of real hypersurfaces of finite type in $\\mathbb C^2$

This page was built for publication: Explicit description of spherical rigid hypersurfaces in \(\mathbb C^2\)