Some existence theorems for closed geodesics (Q789019)
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scientific article; zbMATH DE number 3844563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some existence theorems for closed geodesics |
scientific article; zbMATH DE number 3844563 |
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Some existence theorems for closed geodesics (English)
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1983
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Elementary and geometric methods are used to get existence results for short closed geodesics on certain manifolds of positive curvature. Among others, the optimal number for such closed geodesics for 1/4-pinched metrics on \(P^ n{\mathbb{R}}\) is established.
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existence results
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closed geodesics
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positive curvature
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pinched metrics
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