Systoles on \(S^ 1\times S^ n\) (Q1360101)
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scientific article; zbMATH DE number 1034096
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Systoles on \(S^ 1\times S^ n\) |
scientific article; zbMATH DE number 1034096 |
Statements
Systoles on \(S^ 1\times S^ n\) (English)
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15 July 1997
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It is proved that there is no constant \(c\) such that the inequality \(\text{syst}_1(g)\cdot\text{syst}_n(g)\leq c\cdot\text{Vol}(g)\) holds for all Riemannian metrics \(g\) on \(S^1\times S^n\).
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Riemannian manifold
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systoles
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Sol geometry
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0.8695675
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0.86625844
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0.86336744
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0.8581321
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0.85751647
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