Next: Christoph Böhm - Inhomogeneous Up: 1) Differential Geometry and Global Previous: 1) Differential Geometry and Global
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.