Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary

DOI10.1007/BF02571421zbMath0759.32012OpenAlexW1985739033MaRDI QIDQ1204286

Sang-Hyun Cho

Publication date: 3 March 1993

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

Full work available at URL: https://eudml.org/doc/174434

zbMATH Keywords

Stein manifoldholomorphically embeddingpseudoconvex compact complex manifold

Mathematics Subject Classification ID

Pseudoconvex domains (32T99)

Related Items

Extension of \(CR\) structures on three dimensional compact pseudoconvex CR manifolds ⋮ Extension of CR structures on three dimensional pseudoconvex CR manifolds ⋮ On sharp Hölder estimates of the Cauchy-Riemann equation on pseudoconvex domains in \(\mathbb{C}^n\) with one degenerate eigenvalue ⋮ Sufficient conditions for the extension of CR structures ⋮ SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS ⋮ Algebraic approximations in analytic geometry ⋮ Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form ⋮ Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue ⋮ A construction of peak functions on locally convex domains in Cⁿ ⋮ Estimates of invariant metrics on pseudoconvex domains of finite type in \(\mathbb{C}^3\) ⋮ Stein fillability and the realization of contact manifolds ⋮ Stability of Hölder estimates for on pseudoconvex domains of finite type in ℂ² ⋮ Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary ⋮ A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\) ⋮ Holomorphic approximation on compact pseudoconvex complex manifolds ⋮ Unnamed Item

Cites Work

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• Strongly pseudoconvex manifolds and strongly pseudoconvex domains
• Boundary invariants of pseudoconvex domains
• On the existence of bounded holomorphic functions on complete Kähler manifolds
• Differentiability of the Bergman kernel and pseudo-local estimates
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Boundary behavior of holomorphic functions on pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary
• A Newlander-Nirenberg theorem for manifolds with boundary
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Theorem B for Stein Manifolds with Strictly Pseudoconvex Boundary
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)