An upper bound for the curvature integral

A. M. Petrunin

doi:10.1090/S1061-0022-09-01046-2

An upper bound for the curvature integral

A. M. Petrunin

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	255-265
Number of pages	11
Journal	St. Petersburg Mathematical Journal
Volume	20
Issue number	2
DOIs	https://doi.org/10.1090/S1061-0022-09-01046-2
State	Published - 2009

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1090/S1061-0022-09-01046-2

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An upper bound for the curvature integral

Abstract

All Science Journal Classification (ASJC) codes

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