Abstract.
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.
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Submitted: August 1996, revised: July 1997
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Petersen, P., Wei, G. Relative Volume Comparison with Integral Curvature Bounds. GAFA, Geom. funct. anal. 7, 1031–1045 (1997). https://doi.org/10.1007/s000390050036
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DOI: https://doi.org/10.1007/s000390050036