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Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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| dc.contributor.author | Bromberg, S. | |
| dc.contributor.author | Medina, A. | |
| dc.date.accessioned | 2019-02-16T16:24:54Z | |
| dc.date.available | 2019-02-16T16:24:54Z | |
| dc.date.issued | 2008 | |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 53C22; 53C50; 57M50; 22E30 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/148001 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | The authors wish to thank the anonymous referee for the careful reading and the pertinent observations that led, in particular, to a revision of the proof of Lemma 4 and to reformulate accordingly Proposition 5. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
