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TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2

Yakov Eliashberg

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Abstract

In this paper I give a completed topological characterization of Stein manifolds of complex dimension >2. Another paper (see [E14]) is devoted to new topogical obstructions for the existence of a Stein complex structure on real manifolds of dimension 4. Main results of the paper have been announced in [E13].

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What this paper is about

In this paper I give a completed topological characterization of Stein manifolds of complex dimension >2. Another paper (see [E14]) is devoted to new topogical obstructions for the existence of a Stein complex structure on real manifolds of dimension 4. Main results of the paper have been announced in [E13].

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OpenAlex reports 404 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper I give a completed topological characterization of Stein manifolds of complex dimension >2. Another paper (see [E14]) is devoted to new topogical obstructions for the existence of a Stein complex structure on real manifolds of dimension 4. Main results of the paper have been announced in [E13].

Key concepts: Mathematics, Dimension (graph theory), Characterization (materials science), Stein manifold, Complex dimension, Topology (electrical circuits), Manifold (fluid mechanics), Pure mathematics

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