@MISC{Shen99curvature,diameter, author = {Zhongmin Shen and Jyh-yang Wu}, title = {CURVATURE, DIAMETER AND BOUNDED BETTI NUMBERS}, year = {1999} }
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Abstract
One of the fundamental problems in Riemannian geometry is to understand the relation between the topology and geometry of a Riemannian manifold. Every closed manifold M admits a Riemannian metric g with the following curvature