Sasakian manifolds with perfect fundamental groups (Q380762)
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scientific article; zbMATH DE number 6227078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sasakian manifolds with perfect fundamental groups |
scientific article; zbMATH DE number 6227078 |
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Sasakian manifolds with perfect fundamental groups (English)
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14 November 2013
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The authors show that for any odd dimension \(\geq 3\) there exists a countable infinity of Sasakian manifolds with a perfect fundamental group which admit Sasaki metrics with constant scalar curvature. Specially in dimension \(5\) they give a countably infinite number of aspherical contact manifolds with these properties. Also they give some examples of Sasaki-Einstein and Sasaki-\(\eta\)-Einstein manifolds.
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extremal Sasaki metrics
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\(\eta\)-Einstein metrics
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orbifolds
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complete intersections
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homology spheres
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