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http://dx.doi.org/10.4134/BKMS.2004.41.2.213

RELATIVE VOLUME COMPARISON WITH INTEGRAL RADIAL CURVATURE BOUNDS  

Yun, Jong-Gug (Department of Mathematical Sciences, Seoul National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.41, no.2, 2004 , pp. 213-220 More about this Journal
Abstract
In this paper, we generalize the Bishop-Gromov volume comparison theorem by considering an integral bound for the part of the radial Ricci curvature which lies below a given smooth function. We also establish a compactness theorem from this result.
Keywords
mean curvature; Ricci curvature;
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