Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



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






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


Matematicheskie Zametki, 2006, Volume 80, Issue 6, Pages 902–907
DOI: https://doi.org/10.4213/mzm3365
(Mi mzm3365)
 

This article is cited in 15 scientific papers (total in 15 papers)

Some conformal and projective scalar invariants of Riemannian manifolds

S. E. Stepanov

Vladimir State Pedagogical University
References:
Abstract: It is proved that, on any closed oriented Riemannian $n$-manifold, the vector spaces of conformal Killing, Killing, and closed conformal Killing $r$-forms, where $1\le r\le n-1$, have finite dimensions $t_r$, $k_r$, and $p_r$, respectively. The numbers $t_r$ are conformal scalar invariants of the manifold, and the numbers $k_r$ and $p_r$ are projective scalar invariants; they are dual in the sense that $t_r=t_{n-r}$ and $k_r=p_{n-r}$. Moreover, an explicit expression for a conformal Killing $r$-form on a conformally flat Riemannian $n$-manifold is given.
Received: 26.09.2005
Revised: 03.05.2006
English version:
Mathematical Notes, 2006, Volume 80, Issue 6, Pages 848–852
DOI: https://doi.org/10.1007/s11006-006-0206-4
Bibliographic databases:
UDC: 514.764.212
Language: Russian
Citation: S. E. Stepanov, “Some conformal and projective scalar invariants of Riemannian manifolds”, Mat. Zametki, 80:6 (2006), 902–907; Math. Notes, 80:6 (2006), 848–852
Citation in format AMSBIB
\Bibitem{Ste06}
\by S.~E.~Stepanov
\paper Some conformal and projective scalar invariants of Riemannian manifolds
\jour Mat. Zametki
\yr 2006
\vol 80
\issue 6
\pages 902--907
\mathnet{http://mi.mathnet.ru/mzm3365}
\crossref{https://doi.org/10.4213/mzm3365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2311616}
\zmath{https://zbmath.org/?q=an:1131.53014}
\elib{https://elibrary.ru/item.asp?id=9429652}
\transl
\jour Math. Notes
\yr 2006
\vol 80
\issue 6
\pages 848--852
\crossref{https://doi.org/10.1007/s11006-006-0206-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000243368900025}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845668452}
Linking options:
  • https://www.mathnet.ru/eng/mzm3365
  • https://doi.org/10.4213/mzm3365
  • https://www.mathnet.ru/eng/mzm/v80/i6/p902
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024