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Igor Belegradek - Pinching and Pontrjagin classes
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.