A global Kählerian analog of a warped product (Q1972670)
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scientific article; zbMATH DE number 1431739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A global Kählerian analog of a warped product |
scientific article; zbMATH DE number 1431739 |
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A global Kählerian analog of a warped product (English)
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13 April 2000
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Let \(E \rightarrow B\) be a fibration such that \(E\) and \(B\) are Kähler manifolds, the projection is a conformal submersion, and all fibers are totally geodesic pairwise isomorphic submanifolds. The author proposes to consider such an object as an analog of a warped product for Kähler manifolds. He proves that, for every complete Hodge manifold, there exists such a fibration which is a complete manifold itself. Some other results on this subject are also obtained.
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Kähler manifold
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conformal submersion
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fiber space
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warped product
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Hodge manifold
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0.8068626523017883
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0.8038231730461121
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0.7774596810340881
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