Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
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| Creator |
Bromberg, S.
Medina, A. |
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| Description |
In this work it is shown that a necessary condition for the completeness of the geodesics of left invariant pseudo-Riemannian metrics on Lie groups is also sufficient in the case of 3-dimensional unimodular Lie groups, and not sufficient for 3-dimensional non unimodular Lie groups. As a consequence it is possible to identify, amongst the compact locally homogeneous Lorentzian 3-manifolds with non compact (local) isotropy group, those that are geodesically complete.
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| Date |
2019-02-16T16:24:54Z
2019-02-16T16:24:54Z 2008 |
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| Type |
Article
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| Identifier |
Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds / S. Bromberg, A. Medina // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 8 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 53C22; 53C50; 57M50; 22E30 http://dspace.nbuv.gov.ua/handle/123456789/148001 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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