Geodesics in weakly symmetric spaces (Q1355707)
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scientific article; zbMATH DE number 1014199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesics in weakly symmetric spaces |
scientific article; zbMATH DE number 1014199 |
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Geodesics in weakly symmetric spaces (English)
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11 January 1998
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A Riemannian manifold \(M\) is said to be weakly symmetric if for every two points \(p\) and \(q\) in \(M\) there is an isometry of \(M\) interchanging \(p\) and \(q\). The authors prove that every geodesic in a weakly symmetric space is an orbit of a one-parameter group of isometries of \(M\).
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weakly symmetric spaces
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geodesics
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