Matematicheskie Trudy
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



Mat. Tr.:
Year:
Volume:
Issue:
Page:
Find






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


Matematicheskie Trudy, 2006, Volume 9, Number 1, Pages 130–168 (Mi mt42)  

This article is cited in 12 scientific papers (total in 12 papers)

Locally Conformally Homogeneous Pseudo-Riemannian Spaces

E. D. Rodionova, V. V. Slavskiib, L. N. Chibrikovaa

a Barnaul State Pedagogical University
b Ugra Research Institute of Information Technologies
References:
Abstract: Locally homogeneous Riemannian spaces were studied in many papers. Locally conformally homogeneous Riemannian spaces were considered in [1]. Moreover, the theorem claiming that every such space is either conformally flat or conformally equivalent to a locally homogeneous Riemannian space was proved.
In this article, we study locally conformally homogeneous pseudo-Riemannian spaces and prove a theorem on their structure. Using three-dimensional Lie groups and the six-dimensional Heisenberg group [2], we construct some examples showing the difference between the Riemannian and pseudo-Riemannian cases for such spaces.
Key words: conformal deformations, (pseudo-)Riemannian metric, homogeneous spaces.
Received: 18.07.2005
English version:
Siberian Advances in Mathematics, 2007, Volume 17, Issue 3, Pages 186–212
DOI: https://doi.org/10.3103/S1055134407030030
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: E. D. Rodionov, V. V. Slavskii, L. N. Chibrikova, “Locally Conformally Homogeneous Pseudo-Riemannian Spaces”, Mat. Tr., 9:1 (2006), 130–168; Siberian Adv. Math., 17:3 (2007), 186–212
Citation in format AMSBIB
\Bibitem{RodSlaChi06}
\by E.~D.~Rodionov, V.~V.~Slavskii, L.~N.~Chibrikova
\paper Locally Conformally Homogeneous Pseudo-Riemannian Spaces
\jour Mat. Tr.
\yr 2006
\vol 9
\issue 1
\pages 130--168
\mathnet{http://mi.mathnet.ru/mt42}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2251334}
\elib{https://elibrary.ru/item.asp?id=9529736}
\transl
\jour Siberian Adv. Math.
\yr 2007
\vol 17
\issue 3
\pages 186--212
\crossref{https://doi.org/10.3103/S1055134407030030}
Linking options:
  • https://www.mathnet.ru/eng/mt42
  • https://www.mathnet.ru/eng/mt/v9/i1/p130
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:502
    Full-text PDF :186
    References:64
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024