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- W1967338082 abstract "Abstract A b-CR structure on a smooth (2n + 1)-manifold ℳ with boundary is an involutive subbundle 𝒱 of the complexification of the b-tangent bundle of ℳ such that and the codimension of in ℂ b Tℳ is 1. This class of manifolds and structures contains the spherical blowups at singular points of hypersufaces in ℂ n+1 with conical singular points. Suppose ℳ is compact. Under strict pseudoconvexity conditions we investigate properties of the restriction of 𝒱 to the boundary of ℳ, prove the finite-dimensionality of the cohomology groups in degrees 1 ≤ q ≤ n −1 for various natural complexes of operators on ℳ, and prove an embedding theorem of ℳ in some ℂ N assuming additional conditions on the boundary structure. Key Words: CR manifolds b-Tangent bundleCohomologyCR embeddings2000 Mathematics Subject Classification: Primary 32V05Secondary 58J1035H20 Acknowledgments" @default.
- W1967338082 created "2016-06-24" @default.
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- W1967338082 date "2005-01-02" @default.
- W1967338082 modified "2023-09-25" @default.
- W1967338082 title "Strictly Pseudoconvex<i>b</i>-CR Manifolds" @default.
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- W1967338082 doi "https://doi.org/10.1081/pde-200037762" @default.
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