Complete differential system for the mappings of CR manifolds of nondegenerate Levi forms

DOI10.1007/S002080050119zbMath0892.32015OpenAlexW1970265811MaRDI QIDQ1374726

Chong-Kyu Han

Publication date: 10 December 1997

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050119

zbMATH Keywords

CR manifoldCR-mappingcomplete differential system

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) CR manifolds (32V99)

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The stationary disc method in the unique jet determination of CR automorphisms ⋮ Complete system of finite order for the embeddings of pseudo-hermitian manifolds into ℂ^N+1 ⋮ Stationary holomorphic discs and finite jet determination problems ⋮ Local rigidity of hypersurfaces in real Euclidean spaces. ⋮ Local embeddability of pseudo-Hermitian manifolds into spheres ⋮ Complete prolongation for infinitesimal automorphisms on almost complex manifolds ⋮ Lie group structures on groups of diffeomorphisms and applications to CR manifolds. ⋮ Local geometric properties of real submanifolds in complex space ⋮ Analytic Jet Parametrization for CR Automorphisms of Some Essentially Finite CR Manifolds ⋮ Local embeddability of CR manifolds into spheres ⋮ Two decades of finite jet determination of CR mappings ⋮ Uniformly Levi degenerate CR manifolds: The 5-dimensional case ⋮ Stationary discs for smooth hypersurfaces of finite type and finite jet determination ⋮ A reflection principle for real-analytic submanifolds of complex spaces

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