The existence of closed geodesics on a complete Riemannian manifold (Q581856)
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scientific article; zbMATH DE number 4129564
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of closed geodesics on a complete Riemannian manifold |
scientific article; zbMATH DE number 4129564 |
Statements
The existence of closed geodesics on a complete Riemannian manifold (English)
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1989
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Let f be a \(C^ 1\)-differentiable closed curve in a Riemannian manifold M. By means of the initial value problem of the heat equation, sufficient conditions for the existence of closed geodesics of M in the homotopy class of f are established.
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heat equation
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closed geodesics
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homotopy class
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0.8442718386650085
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0.8221426606178284
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0.7774662971496582
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