Proper holomorphic embeddings into Stein manifolds with the density property

Abstract

We prove that a Stein manifold of dimension $d$ admits a proper holomorphic embedding into any Stein manifold of dimension at least $2d+1$ satisfying the holomorphic density property. This generalizes classical theorems of Remmert, Bishop and Narasimhan pertaining to embeddings into complex Euclidean spaces, as well as several other recent results.

To appear in J. d'Analyse Math

References in corpus (2)

• Criteria for the density property of complex manifolds
• The algebraic density property for affine toric varieties

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• Oka properties of complements of holomorphically convex sets
• Complete densely embedded complex lines in ${\mathbb{C}}^2$
• Euclidean domains in complex manifolds
• Runge tubes in Stein manifolds with the density property
• Elliptic characterization and unification of Oka maps
• Oka-1 manifolds: New examples and properties
• Proper holomorphic curves attached to domains
• Complete nonsingular holomorphic foliations on Stein manifolds