Linear bounds for lengths of geodesic segments on Riemannian 2-spheres (Q2870235)
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scientific article; zbMATH DE number 6247540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear bounds for lengths of geodesic segments on Riemannian 2-spheres |
scientific article; zbMATH DE number 6247540 |
Statements
17 January 2014
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geodesics
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Riemannian surfaces
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diameter
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Morse theory on spaces of curves
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Linear bounds for lengths of geodesic segments on Riemannian 2-spheres (English)
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The authors continue their series of papers related to the estimate of the length for a prescribed number of geodesics connecting two given points on a Riemannian manifold. Here it is shown that on a Riemannian manifold diffeomorphic to the two-dimensional sphere this upper bound is linear with respect to the number of the considered geodesics.
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