Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 1, Pages 29–73 (Mi vngu108)  
This article is cited in 1 scientific paper (total in 1 paper)

On harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric

O. P. Gladunovaa, E. D. Rodionovb, V. V. Slavskiib

a Altai State University, Barnaul, Russia
b Altai State Pedagogical Academy, Barnaul, Russia
Full-text PDF (346 kB) Citations (1)
References:
PDF
HTML
Abstract: This paper studies three-dimensional Lie groups with left-invariant Lorentz metric and almost harmonic (i.e., having curl and divergence zero) Schouten–Weyl tensor. Moreover, by using the convolution of the Schouten-Weyl tensor in the direction of any vector, we define an antisymmetric $2$-tensor and study the structure of the three-dimensional Lie groups and algebras with left-invariant Lorentz metric for which this tensor is harmonic.
Keywords: Lie groups and algebras, left-invariant Lorentz metrics, harmonic tensor, Schouten–Weyl tensor.
Received: 05.10.2008
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 505–545
DOI: https://doi.org/10.1007/s10958-014-1806-2
Document Type: Article
UDC: 514.765
Language: Russian
Citation: O. P. Gladunova, E. D. Rodionov, V. V. Slavskii, “On harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:1 (2012), 29–73; J. Math. Sci., 198:5 (2014), 505–545
Citation in format AMSBIB
\Bibitem{GlaRodSla12}
\by O.~P.~Gladunova, E.~D.~Rodionov, V.~V.~Slavskii
\paper On harmonic tensors on three-dimensional Lie groups with left-invariant Lorentz metric
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 1
\pages 29--73
\mathnet{http://mi.mathnet.ru/vngu108}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 505--545
\crossref{https://doi.org/10.1007/s10958-014-1806-2}
Linking options:
  • https://www.mathnet.ru/eng/vngu108
  • https://www.mathnet.ru/eng/vngu/v12/i1/p29
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Statistics & downloads:
    Abstract page:172
    Full-text PDF :78
    References:45
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024