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Algebra i Analiz, 2008, Volume 20, Issue 2, Pages 134–148 (Mi aa508)  
This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

An upper bound for the curvature integral

Petrunin
Full-text PDF (266 kB) Citations (12)
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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
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\pages 134--148
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\transl
\jour St. Petersburg Math. J.
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\issue 2
\pages 255--265
\crossref{https://doi.org/10.1090/S1061-0022-09-01046-2}
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    • 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
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:519
    Full-text PDF :211
    References:40
    First page:6
     
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