Geodesic completeness of the left-invariant metrics on ${{\mathbb{R}} H^n} $
UDC 514 We give the full classification of left-invariant metrics of an arbitrary signature on the Lie group corresponding to the real hyperbolic space. We show that all metrics have constant sectional curvature and that they are geodesically complete only in the Riemannian case.
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| Date: | 2020 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2020
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/645 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |