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, 2003, Volume 6, Number 2, Pages 80–101 (Mi mt93)  
This article is cited in 10 scientific papers (total in 10 papers)

Invariant Einstein Metrics on Three-Locally-Symmetric Spaces

A. M. Lomshakova, Yu. G. Nikonorovb, E. V. Firsovb

a Barnaul State Pedagogical University
b Rubtsovsk Industrial Intitute, Branch of Altai State Technical University
Full-text PDF (1960 kB) Citations (10)
References:
PDF
HTML
Abstract: We study the problem of existence and the number of invariant Einstein metrics on three-locally-symmetric spaces. We prove that if there are no isomorphic modules in the isotropy decomposition then the number of invariant Einstein metrics (up to isometry and homothety) varies from one to four. Basing on these results, we construct new examples of Einstein metrics.
Key words: Riemannian manifold, homogeneous space, Einstein metric.
Received: 18.04.2002
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: A. M. Lomshakov, Yu. G. Nikonorov, E. V. Firsov, “Invariant Einstein Metrics on Three-Locally-Symmetric Spaces”, Mat. Tr., 6:2 (2003), 80–101; Siberian Adv. Math., 14:3 (2004), 43–62
Citation in format AMSBIB
\Bibitem{LomNikFir03}
\by A.~M.~Lomshakov, Yu.~G.~Nikonorov, E.~V.~Firsov
\paper Invariant Einstein Metrics on Three-Locally-Symmetric Spaces
\jour Mat. Tr.
\yr 2003
\vol 6
\issue 2
\pages 80--101
\mathnet{http://mi.mathnet.ru/mt93}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2033648}
\zmath{https://zbmath.org/?q=an:1077.53512|1054.53067}
\transl
\jour Siberian Adv. Math.
\yr 2004
\vol 14
\issue 3
\pages 43--62
Linking options:
  • https://www.mathnet.ru/eng/mt93
  • https://www.mathnet.ru/eng/mt/v6/i2/p80
    • This publication is cited in the following 10 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:451
    Full-text PDF :179
    References:53
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024