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Relative volume comparison with integral
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Abstract
In this paper, we generalize the Bishop-Gromov volume comparisontheorem by considering an integral bound for the part of theradial Ricci curvature which lies below a given smooth function.We also establish a compactness theorem from this result.
참고문헌 (7)
- "Geometry of manifolds}" (1964), Academic Press
- "Manifolds with pinched radialcurvature}", pp.979~ (1993)
- "Riemannian manifolds with positive radial curvature}", pp.419~ (1993)
- "emph{Integralcurvature bounds, distance estimates and applications},", 50(2), pp.269~298 (1998)
- "emph{Relative volume comparison withintegral curvature bounds}", 7(6), pp.1031~1045 (1997)
- "emph{Comparison Theorems formanifolds with radial curvature bounded below},", 3, pp.81~91 (2001)
- "emph{Comparison Theorems formanifolds with radial curvature bounded below},", 3, pp.81~91 (2001)
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