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This article is cited in 12 scientific papers (total in 12 papers)
Research Papers
An upper bound for the curvature integral
Petrunin
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
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
Linking options:
https://www.mathnet.ru/eng/aa508 https://www.mathnet.ru/eng/aa/v20/i2/p134
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Abstract page: | 519 | Full-text PDF : | 211 | References: | 40 | First page: | 6 |
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