Proper holomorphic embeddings into Stein manifolds with the density property

Rafael Andrist; Franc Forstneric; Tyson Ritter; Erlend Fornaess Wold

doi:10.1007/s11854-016-0031-y

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arXiv · 1309.6956

Proper holomorphic embeddings into Stein manifolds with the density property

Rafael Andrist·Franc Forstneric·Tyson Ritter·Erlend Fornaess Wold

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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.

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BibTeX RIS

Rafael Andrist, Franc Forstneric, Tyson Ritter, Erlend Fornaess Wold. 2014-02-05. Proper holomorphic embeddings into Stein manifolds with the density property. https://doi.org/10.1007/s11854-016-0031-y

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