Approximation by automorphisms on smooth submanifolds of \(\mathbb{C}^ n\)
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Publication:1345952
DOI10.1007/BF01450512zbMath0821.32028MaRDI QIDQ1345952
Publication date: 19 March 1995
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/165278
Complex Lie groups, group actions on complex spaces (32M05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)
Related Items (18)
Noncritical holomorphic functions on Stein manifolds. ⋮ Equivalence of real submanifolds under volume-preserving holomorphic automorphisms of \(\mathbb{C}^ n\) ⋮ The first thirty years of Andersén-Lempert theory ⋮ A Carleman type theorem for proper holomorphic embeddings ⋮ A theorem in complex symplectic geometry ⋮ Embedding holomorphic discs through discrete sets ⋮ An Oka principle for a parametric infinite transitivity property ⋮ The convergence of hulls of curves ⋮ Polynomial hulls and analytic discs ⋮ Hulls of Surfaces ⋮ Carleman approximation by holomorphic automorphisms of \(\mathbb{C}^n\) ⋮ A Fatou-Bieberbach domain in \(\mathbb C^2\) which is not Runge ⋮ Polynomially convex embeddings of odd-dimensional closed manifolds ⋮ Polynomial convexity and totally real manifolds ⋮ Totally real embeddings with prescribed polynomial hulls ⋮ Polynomially convex embeddings of even-dimensional compact manifolds ⋮ Interpolation by holomorphic automorphisms and embeddings in \({\mathbb{C}}^n\) ⋮ Rational and polynomial density on compact real manifolds
Cites Work
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- Linking and holomorphic hulls
- Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
- The hull of a curve in \(\mathbb C^n\)
- Convexité rationnelle des surfaces lagrangiennes. (Rational convexity of Lagrangian surfaces)
- A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
- On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
- Complements of Runge domains and holomorphic hulls
- Actions of \((\mathbf R,+)\) and \((\mathbf C,+)\) on complex manifolds
- Holomorphic approximation and hyperfunction theory on a C\(^1\) totally real submanifold of a complex manifold
- Polynomially and rationally convex sets
- Volume-preserving automorphisms of C⊃n⊃
- Holomorphic Maps from C n to C n
- Stability of Polynomial Convexity of Totally Real Sets
- The Polynomial Hull of a Rectifiable Curve in C n
- Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
- A Note on Polynomial Hulls
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