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, 2005, Volume 8, Number 1, Pages 71–121 (Mi mt56)  
This article is cited in 16 scientific papers (total in 16 papers)

Six-Dimensional Einstein Solvmanifolds

E. V. Nikitenko, Yu. G. Nikonorov

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University
Full-text PDF (4247 kB) Citations (16)
References:
PDF
HTML
Abstract: In this article, we completely classify the six-dimensional Einstein solvmanifolds. In particular, we show that all such solvmanifolds are standard. We also classify the homogeneous Einstein 6-manifolds of nonpositive sectional curvature. Moreover, we obtain some structural results about several classes of Einstein solvmanifolds of greater dimension.
Key words: Riemannian manifold, solvmanifold, homogeneous space, Einstein metric.
Received: 25.06.2004
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: E. V. Nikitenko, Yu. G. Nikonorov, “Six-Dimensional Einstein Solvmanifolds”, Mat. Tr., 8:1 (2005), 71–121; Siberian Adv. Math., 16:1 (2006), 66–112
Citation in format AMSBIB
\Bibitem{NikNik05}
\by E.~V.~Nikitenko, Yu.~G.~Nikonorov
\paper Six-Dimensional Einstein Solvmanifolds
\jour Mat. Tr.
\yr 2005
\vol 8
\issue 1
\pages 71--121
\mathnet{http://mi.mathnet.ru/mt56}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1955023}
\elib{https://elibrary.ru/item.asp?id=9535715}
\transl
\jour Siberian Adv. Math.
\yr 2006
\vol 16
\issue 1
\pages 66--112
Linking options:
  • https://www.mathnet.ru/eng/mt56
  • https://www.mathnet.ru/eng/mt/v8/i1/p71
    • This publication is cited in the following 16 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025