Non-positively curved 3-manifolds with non-Kähler \(\pi_1\) (Q2712613)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-positively curved 3-manifolds with non-Kähler \(\pi_1\) |
scientific article |
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6 May 2001
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Kähler group
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non-positively curved 3-manifold
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0.9194859
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0.9184712
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0.9150952
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0.90699613
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0.90609384
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0.89855707
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0.8956368
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Non-positively curved 3-manifolds with non-Kähler \(\pi_1\) (English)
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A Kähler group is a group that appears as a fundamental group of a compact Kähler manifold. Let \(M\) be a compact Riemannian 3-manifold of non-positive sectional curvature such that the set of points where the curvature is strictly negative, is dense. The main result states that \(\pi_1(M)\) is non-Kähler. New examples of fundamental groups of compact manifolds which are not Kähler end the paper.
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