Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2008, Volume 20, Issue 2, Pages 134–148 (Mi aa508)  
This article is cited in 14 scientific papers (total in 14 papers)

Research Papers

An upper bound for the curvature integral

Petrunin
Full-text PDF (266 kB) Citations (14)
References:
PDF
HTML
Abstract: It is shown that the integral of the scalar curvature of a closed Riemannian manifold can be bounded from above in terms of its dimension, diameter, and a lower bound for the sectional curvature.
Keywords: Sectional curvature, scalar curvature, Alexandrov space.
Received: 05.04.2007
English version:
St. Petersburg Mathematical Journal, 2009, Volume 20, Issue 2, Pages 255–265
DOI: https://doi.org/10.1090/S1061-0022-09-01046-2
Bibliographic databases:
Document Type: Article
MSC: 53B21
Language: Russian
Citation: Petrunin, “An upper bound for the curvature integral”, Algebra i Analiz, 20:2 (2008), 134–148; St. Petersburg Math. J., 20:2 (2009), 255–265
Citation in format AMSBIB
\Bibitem{Pet08}
\by Petrunin
\paper An upper bound for the curvature integral
\jour Algebra i Analiz
\yr 2008
\vol 20
\issue 2
\pages 134--148
\mathnet{http://mi.mathnet.ru/aa508}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423998}
\zmath{https://zbmath.org/?q=an:1206.53048}
\elib{https://elibrary.ru/item.asp?id=11568871}
\transl
\jour St. Petersburg Math. J.
\yr 2009
\vol 20
\issue 2
\pages 255--265
\crossref{https://doi.org/10.1090/S1061-0022-09-01046-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267497500005}
Linking options:
  • https://www.mathnet.ru/eng/aa508
  • https://www.mathnet.ru/eng/aa/v20/i2/p134
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:545
    Full-text PDF :217
    References:55
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024