Generalized symmetric Berwald spaces (Q6486723)
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scientific article; zbMATH DE number 6370133
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized symmetric Berwald spaces |
scientific article; zbMATH DE number 6370133 |
Statements
Generalized symmetric Berwald spaces (English)
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17 November 2014
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The authors show that any Berwald space (\(M, F\)) which admits a parallel \(s\)-structure, is locally symmetric. Moreover, if such a space is complete and its flag curvature is everywhere nonzero, then \(F\) is Riemannian.
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homogeneous Finsler spaces
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symmetric spaces
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\(s\)-structures
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Berwald spaces
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Finsler spaces
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flag curvature
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Riemannian spaces
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