On Escobales-Parker's theorem (Q1263095)
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scientific article; zbMATH DE number 4126222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Escobales-Parker's theorem |
scientific article; zbMATH DE number 4126222 |
Statements
On Escobales-Parker's theorem (English)
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1989
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The following theorem is proved which generalizes a result of \textit{R. H. Escobales} jun. and \textit{P. E. Parker} [Indiana Univ. Math. J. 37, No.2, 333-339 (1988)]: Let \(\pi\) : \(M\to B\) be a Riemannian submersion with totally umbilical fibres V. If all the fibres V are compact and have quasi-negative Ricci curvatures, then M is locally a warped product.
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Riemannian submersion
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totally umbilical
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Ricci curvatures
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warped product
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