A new approach to the local embedding theorem of CR-structures for 𝑛≥4 (the local solvability for the operator \overline∂_{𝑏} in the abstract sense)
From MaRDI portal
Publication:3764437
DOI10.1090/memo/0366zbMath0628.32025OpenAlexW2008870091MaRDI QIDQ3764437
Publication date: 1987
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/memo/0366
Real submanifolds in complex manifolds (32V40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items (19)
Yang-Mills connections over compact strongly pseudoconvex CR manifolds ⋮ Isolated complex singularities and their CR links ⋮ Non completely solvable systems of complex first order PDE's ⋮ Local Integrability of Mizohata Structures ⋮ Szegő kernel asymptotics on complete strictly pseudoconvex CR manifolds ⋮ Pseudohermitian immersions, pseudo-Einstein structures, and the Lee class of a CR manifold ⋮ New examples of non-locally embeddable CR structures (with no non- constant CR distributions) ⋮ Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form ⋮ Canonical curves and Kropina metrics in Lagrangian contact geometry ⋮ The range of the tangential Cauchy-Riemann operator over a small ball ⋮ Parallel spinors and basic holonomy in pseudo-Hermitian geometry ⋮ Regularity in the local CR embedding problem ⋮ Global Mizohata structures ⋮ Nonexistence of homotopy formula for (0,1) forms on hypersurfaces in \({\mathbb{C}}^ 3\) ⋮ \(L^ p\) estimates for local solutions of \({\bar \partial}_ b\) on strongly pseudo-convex CR-manifolds ⋮ On the realizability of Lewy structures ⋮ Existence and nonexistence of homotopy formulas for the Mizohata complex ⋮ On the proof of Kuranishi's embedding theorem ⋮ Sobolev estimates for the local extension of ∂̄_{𝑏}-closed (0,1)-forms on real hypersurfaces in ℂⁿ with two positive eigenvalues
This page was built for publication: A new approach to the local embedding theorem of CR-structures for 𝑛≥4 (the local solvability for the operator \overline∂_{𝑏} in the abstract sense)
