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|IGOR BELEGRADEK, Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada|
|Pinching and Pontrjagin classes|
We proof some pinching theorems for the class of n-manifolds that have fundamental groups isomorphic to and that can be given complete Riemannian metrics of sectional curvatures within [a,b] where . For example, given a word-hyperbolic group and an integer n there exist such that the tangent bundle of any manifold in the class has has zero rational Pontrjagin classes.