Transversal Lie group actions on abstract CR manifolds

DOI10.1007/BF01446875zbMath0673.32021WikidataQ115393515 ScholiaQ115393515MaRDI QIDQ1120707

Linda Preiss Rothschild, Mohamed Salah Baouendi

Publication date: 1990

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

Full work available at URL: https://eudml.org/doc/164667

zbMATH Keywords

abstract CR manifoldgeneric submanifold of \({\mathbb{C}}(\sup \) n)local holomorphic extensionlocal transversal Lie group action

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Real submanifolds in complex manifolds (32V40) Complex Lie groups, group actions on complex spaces (32M05) Noncompact Lie groups of transformations (57S20)

Related Items (1)

Transversal group actions on CR manifolds and embeddability

Cites Work

• Complex analytic coordinates in almost complex manifolds
• Microlocal hypo-analyticity and extension of CR functions
• The canonical bundle and realizable CR hypersurfaces
• CR structures with group action and extendability of CR functions
• Embeddability of abstract CR structures and integrability of related systems
• Normal forms for generic manifolds and holomorphic extension of CR functions
• On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
• Extension of holomorphic functions in generic wedges and their wave front sets
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