Local almost contact metric 3-structures (Q2714312)
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scientific article; zbMATH DE number 1604223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local almost contact metric 3-structures |
scientific article; zbMATH DE number 1604223 |
Statements
13 June 2001
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quaternion-Kähler manifold
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almost contact structure
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Einstein manifold
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Riemannian foliation
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warped product
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Riemannian submersion
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Local almost contact metric 3-structures (English)
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The authors study a natural odd-dimensional analogue of quaternion-Kähler structures. They show that such manifolds are Einstein with positive scalar curvature and if complete are compact with finite fundamental group; with some regularity assumption they fiber with 3-dimensional spherical space forms over Einstein orbifolds with positive scalar curvature.
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