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RELATIVE VOLUME COMPARISON WITH INTEGRAL RADIAL CURVATURE BOUNDS

  • Published : 2004.05.01

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

References

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