Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension (Q504123)
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scientific article; zbMATH DE number 6677803
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension |
scientific article; zbMATH DE number 6677803 |
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Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension (English)
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25 January 2017
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The study of homogeneous geodesics on homogeneous Riemannian manifolds started a long time ago and some interesting results have been established in several papers. In the paper under review the author proves that any homogeneous Finsler space of odd dimension admits at least one homogeneous geodesic through each point (Theorem \(1\)).
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homogeneous geodesics
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homogeneous Finsler spaces
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geodesic vectors
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