Invariant Geometric Objects of the Canonical Almost-Geodesic Mapping π2 (e = 0)
For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system.
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| Date: | 2002 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4171 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | For the canonical almost-geodesic mapping π2 (e = 0), we prove an analog of the Beltrami theorem in the theory of geodesic mappings. We introduce canonical π2-flat spaces and obtain metrics for them in a special coordinate system. |
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