Parametrization of local CR automorphisms by finite jets and applications

DOI10.1090/S0894-0347-06-00534-0zbMath1112.32017arXivmath/0608047MaRDI QIDQ3420417

Bernhard Lamel, Nordine Mir

Publication date: 2 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0608047

zbMATH Keywords

finite jet determinationCR automorphismsjet parametrizationsingular analytic equations

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) CR manifolds as boundaries of domains (32V15) CR structures, CR operators, and generalizations (32V05) Extension of functions and other analytic objects from CR manifolds (32V25) Analysis on CR manifolds (32V20) Finite-type conditions on CR manifolds (32V35) Boundary uniqueness of mappings in several complex variables (32H12)

Related Items (17)

Remarks on the symmetries of a model hypersurface ⋮ Projection on Segre varieties and determination of holomorphic mappings between real submanifolds ⋮ On maps between nonminimal hypersurfaces ⋮ Automorphism groups of minimal real-analytic CR manifolds ⋮ On the third gap for proper holomorphic maps between balls ⋮ Stationary holomorphic discs and finite jet determination problems ⋮ Finite jet determination of CR mappings ⋮ A Decomposition of the Bundle of Second Order Jets on a Complex Manifold ⋮ Divergent CR-equivalences and meromorphic differential equations ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ On the stability group of CR manifolds ⋮ Analytic Jet Parametrization for CR Automorphisms of Some Essentially Finite CR Manifolds ⋮ Unique jet determination and extension of germs of CR maps into spheres ⋮ The automorphism group and limit set of a bounded domain I: the finite type case ⋮ Two decades of finite jet determination of CR mappings ⋮ Geometric properties and related results for holomorphic Segre preserving maps ⋮ Two boundary rigidity results for holomorphic maps

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