An upper bound for the curvature integral

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7 Scopus citations


It is shown that the integral of the scalar curvature of a closed Riemannian manifold can be bounded from above in terms of the manifold’s dimension, diameter, and a lower bound for the sectional curvature.

Original languageEnglish (US)
Pages (from-to)255-265
Number of pages11
JournalSt. Petersburg Mathematical Journal
Issue number2
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics


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