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Relative Volume Comparison with Integral Curvature Bounds
Authors:P. Petersen  G. Wei
Affiliation:(1) Peter Petersen, Department of Mathematics, University of California, Los Angeles, CA 90095, USA, e-mail: petersen@math.ucla.edu, US;(2) Guofang Wei, Department of Mathematics, University of California, Santa Barbara, CA 93106, USA, e-mail: wei@math.ucsb.edu, US
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. Submitted: August 1996, revised: July 1997
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