Geodesic
An upper bound for the curvature integral
Algebra i analiz, Tome 20 (2008) no. 2, pp. 134-148 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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Petrunin. An upper bound for the curvature integral. Algebra i analiz, Tome 20 (2008) no. 2, pp. 134-148. http://geodesic.mathdoc.fr/item/AA_2008_20_2_a4/

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