Codazzi-equivalent Riemannian metrics (Q627310)
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scientific article; zbMATH DE number 5858625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Codazzi-equivalent Riemannian metrics |
scientific article; zbMATH DE number 5858625 |
Statements
Codazzi-equivalent Riemannian metrics (English)
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28 February 2011
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The concept of Codazzi-equivalent Riemannian metrics is introduced. Then, a simple relation on the curvature tensors of two Codazzi-equivalent metrics is deduced. This implies some local and global uniqueness results for Riemannian manifolds and Euclidean hypersurfaces with maximal rank of the shape operator.
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Codazzi pair
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Codazzi-equivalence of Riemannian metrics
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Codazzi tensors
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hypersurfaces with parallel normals
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0.89229953
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0.8855532
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