Strongly pseudoconvex CR structures over small balls. II: A regularity theorem

DOI10.2307/2007047zbMath0505.32019OpenAlexW2316853988MaRDI QIDQ1836015

Masatake Kuranishi

Publication date: 1982

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007047

zbMATH Keywords

generalized Neumann boundary value problemharmonic integrals on strongly pseudoconvex CR structure

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) Deformations of special (e.g., CR) structures (32G07)

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Pseudohermitian immersions, pseudo-Einstein structures, and the Lee class of a CR manifold ⋮ Boundary regularity for the \(\overline{\partial}_b\)-Neumann problem. I ⋮ Fredholm property of a family of operators on the five-dimensional Heisenberg group. ⋮ Boundary regularity of a canonical solution of the \(\bar\partial{}_ b\) problem ⋮ Parallel spinors and basic holonomy in pseudo-Hermitian geometry ⋮ Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\) ⋮ On a holomorphic family of Stein manifolds with strongly pseudoconvex boundaries ⋮ Existence and nonexistence of homotopy formulas for the Mizohata complex

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