An upper bound for the curvature integral

An upper bound for the curvature integral
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DOI:
10.1090/s1061-0022-09-01046-2
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发表时间:
2009-01
影响因子:
0.8
通讯作者:
A. Petrunin
A. Petrunin
中科院分区:
数学4区
文献类型:
--
作者:
A. Petrunin

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。证明了闭黎曼流形的标量曲率积分可以根据流形的尺寸、直径和截面曲率的下界从上有界。
. 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.