Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 267–278 (Mi smj1955)  
This article is cited in 12 scientific papers (total in 12 papers)

On $\delta$-homogeneous Riemannian manifolds. II

V. N. Berestovskiia, Yu. G. Nikonorovb

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science, Omsk
b Rubtsovsk Industrial Intitute, Branch of Polzunov Altai State Technical University, Rubtsovsk
Full-text PDF (342 kB) Citations (12)
References:
PDF
HTML
Abstract: We continue the study of the $\delta$-homogeneous Riemannian manifolds defined in a more general case by V. N. Berestovskii and C. P. Plaut. Each of these manifolds has nonnegative sectional curvature. We prove in particular that every naturally reductive compact homogeneous Riemannian manifold of positive Euler characteristic is $\delta$-homogeneous.
Keywords: homogeneous space, homogeneous space of positive Euler characteristic, geodesic orbit space, Clifford–Wolf translations, geodesic, naturally reductive homogeneous Riemannian space, Riemannian submersion.
Received: 20.09.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 2, Pages 214–222
DOI: https://doi.org/10.1007/s11202-009-0024-5
Bibliographic databases:
UDC: 514.765
Language: Russian
Citation: V. N. Berestovskii, Yu. G. Nikonorov, “On $\delta$-homogeneous Riemannian manifolds. II”, Sibirsk. Mat. Zh., 50:2 (2009), 267–278; Siberian Math. J., 50:2 (2009), 214–222
Citation in format AMSBIB
\Bibitem{BerNik09}
\by V.~N.~Berestovskii, Yu.~G.~Nikonorov
\paper On $\delta$-homogeneous Riemannian manifolds.~II
\jour Sibirsk. Mat. Zh.
\yr 2009
\vol 50
\issue 2
\pages 267--278
\mathnet{http://mi.mathnet.ru/smj1955}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2531752}
\transl
\jour Siberian Math. J.
\yr 2009
\vol 50
\issue 2
\pages 214--222
\crossref{https://doi.org/10.1007/s11202-009-0024-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000265386500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-65349087293}
Linking options:
  • https://www.mathnet.ru/eng/smj1955
  • https://www.mathnet.ru/eng/smj/v50/i2/p267
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:501
    Full-text PDF :105
    References:69
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024