Relative Volume Comparison with Integral Curvature Bounds
- Cite this article as:
- Petersen, P. & Wei, G. GAFA, Geom. funct. anal. (1997) 7: 1031. doi:10.1007/s000390050036
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In this paper we shall generalize the Bishop-Gromov relative volume comparison estimate to a situation where one only has an integral bound for the part of the Ricci curvature which lies below a given number. This will yield several compactness and pinching theorems.