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SUMMARY:Bundles with fiberwise negatively curved metrics - Mauricio Bustam
 ante\, Augsburg
DTSTART:20180221T160000Z
DTEND:20180221T170000Z
UID:TALK97180@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:A smooth M-bundle is said to be negatively curved if its fiber
 s are equipped with Riemannian metrics of negative sectional curvature\, v
 arying continuously from fiber to fiber. The difference between negatively
  curved M-bundles and smooth M-bundles is measured by the space of all neg
 atively curved metrics on M. In this talk I will show that the latter spac
 e has non-trivial rational homotopy groups\, provided certain dimension co
 nstraints are satisfied. Hence the two bundle theories generally differ. T
 he results extend to other spaces of metrics\, e.g. spaces of Riemannian m
 etrics with geodesic flow of Anosov type. This is joint work with F.T. Far
 rell and Y. Jiang.
LOCATION:MR13
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