Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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RELATIVE VOLUME COMPARISON WITH INTEGRAL RADIAL CURVATURE BOUNDS

  • Yun, Jong-Gug (Department of Mathematical Sciences, Seoul National University)
  • Published : 2004.05.01
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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.

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References

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