An upper bound for the curvature integral
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A. M. Petrunin
Translated by: the author - St. Petersburg Math. J. 20 (2009), 255-265
- DOI: https://doi.org/10.1090/S1061-0022-09-01046-2
- Published electronically: January 30, 2009
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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 the manifold’s dimension, diameter, and a lower bound for the sectional curvature.References
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Bibliographic Information
- A. M. Petrunin
- Affiliation: Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802
- MR Author ID: 335143
- ORCID: 0000-0003-3053-5172
- Email: petrunin@math.psu.edu
- Received by editor(s): April 5, 2007
- Published electronically: January 30, 2009
- © Copyright 2009 American Mathematical Society
- Journal: St. Petersburg Math. J. 20 (2009), 255-265
- MSC (2000): Primary 53B21
- DOI: https://doi.org/10.1090/S1061-0022-09-01046-2
- MathSciNet review: 2423998