Local and infinitesimal rigidity of hypersurface embeddings

DOI10.1090/tran/6885zbMath1454.32008arXiv1507.08842OpenAlexW2201246509MaRDI QIDQ5369013

Giuseppe Della Sala, Bernhard Lamel, Michael Reiter

Publication date: 11 October 2017

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08842

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02)

Related Items (4)

The reflection map and infinitesimal deformations of sphere mappings ⋮ Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds ⋮ On highly degenerate CR maps of spheres ⋮ Infinitesimal and local rigidity of mappings of CR manifolds

Uses Software

• Mathematica

Cites Work

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• Classification of holomorphic mappings of hyperquadrics from \(\mathbb C^2\) to \(\mathbb C^3\)
• Partial rigidity of CR embeddings of real hypersurfaces into hyperquadrics with small signature difference
• Normal forms, Hermitian operators, and CR maps of spheres and hyperquadrics
• Holomorphic maps of real submanifolds in complex spaces of different dimensions.
• Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
• Topological aspects of holomorphic mappings of hyperquadrics from \(\mathbb{C}^2\) to \(\mathbb{C}^3\)
• Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
• Maps from the two-ball to the three-ball
• The linearity of proper holomorphic maps between balls in the low codimension case
• Proper holomorphic maps between balls of different dimensions
• Real hypersurfaces in complex manifolds
• Parametrization of local biholomorphisms of real analytic hypersurfaces
• On a linearity problem for proper holomorphic maps between balls in complex spaces of different dimensions.
• Rigidity of CR-immersions into spheres
• Automorphism groups of minimal real-analytic CR manifolds
• FINITENESS OF INFINITESIMAL DEFORMATIONS OF CR MAPPINGS OF CR MANIFOLDS OF NONDEGENERATE LEVI FORM
• Linearization of stability groups of a class of hypersurfaces
• The equivalence problem and rigidity for hypersurfaces embedded into hyperquadrics
• Lie groups
• Mapping \(B^n\) into \(B^{2n-1}\)

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