Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds

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...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2008
Hauptverfasser: Bromberg, S., Medina, A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2008
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/148001
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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