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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Bundles with fiberwise negatively curved metrics -
Mauricio Bustamante\, Augsburg
DTSTART;TZID=Europe/London:20180221T160000
DTEND;TZID=Europe/London:20180221T170000
UID:TALK97180AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/97180
DESCRIPTION:A smooth M-bundle is said to be negatively curved
if its fibers are equipped with Riemannian metrics
of negative sectional curvature\, varying continu
ously from fiber to fiber. The difference between
negatively curved M-bundles and smooth M-bundles i
s measured by the space of all negatively curved m
etrics on M. In this talk I will show that the lat
ter space has non-trivial rational homotopy groups
\, provided certain dimension constraints are sati
sfied. Hence the two bundle theories generally dif
fer. The results extend to other spaces of metrics
\, e.g. spaces of Riemannian metrics with geodesic
flow of Anosov type. This is joint work with F.T.
Farrell and Y. Jiang.
LOCATION:MR13
CONTACT:Ivan Smith
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