A comparison-estimate of the second Rauch type for Ricci curvature (Q884778)
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scientific article; zbMATH DE number 5162125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison-estimate of the second Rauch type for Ricci curvature |
scientific article; zbMATH DE number 5162125 |
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A comparison-estimate of the second Rauch type for Ricci curvature (English)
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7 June 2007
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Rauch's comparison theorem in Riemannian geometry is concerned with sectional curvature. For the Ricci tensor, a comparison-estimate of the first Rauch type has been established by \textit{C. Dai} and \textit{S. Wei} [Math. Ann. 303, No. 2, 297--306 (1995; Zbl 0834.53035)]. In this paper, the authors establish a comparison-estimate of the second Rauch type for Ricci curvature. As an application, they obtain a result of local splitting for Riemannian manifolds.
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Ricci curvature
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Jacobi field
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geodesic hypersurface
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local splitting
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0.92756057
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0.9064188
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0.89843786
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0.8881639
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0.88641375
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0.88473105
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0.88317215
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0.8804302
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