Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 088, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.088 (Mi sigma341) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds

Shirley Bromberga, Alberto Medinab

a Departameto de Matemáticas, UAM-Iztapalapa, México
b Département des Mathématiques, Université de Montpellier II, UMR, CNRS, 5149, Montpellier, France
Full-text PDF (217 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2008.088
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.
Keywords: Lorentzian metrics; complete geodesics; 3-dimensional Lie groups, Euler equation.
Received: June 24, 2008; in final form December 10, 2008; Published online December 18, 2008
Bibliographic databases:
Document Type: Article
MSC: 53C22; 53C50; 57M50; 22E30
Language: English
Citation: Shirley Bromberg, Alberto Medina, “Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds”, SIGMA, 4 (2008), 088, 13 pp.
Citation in format AMSBIB
\Bibitem{BroMed08}
\by Shirley Bromberg, Alberto Medina
\paper Geodesically Complete Lorentzian Metrics on Some Homogeneous 3~Manifolds
\jour SIGMA
\yr 2008
\vol 4
\papernumber 088
\totalpages 13
\mathnet{http://mi.mathnet.ru/sigma341}
\crossref{https://doi.org/10.3842/SIGMA.2008.088}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2470508}
\zmath{https://zbmath.org/?q=an:1162.53312}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267267800088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055186265}
Linking options:
  • https://www.mathnet.ru/eng/sigma341
  • https://www.mathnet.ru/eng/sigma/v4/p88
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:343
    Full-text PDF :32
    References:18
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024