University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Bundles with fiberwise negatively curved metrics

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Bundles with fiberwise negatively curved metrics

Download to your calendar using vCal

  • UserMauricio Bustamante, Augsburg
  • ClockWednesday 21 February 2018, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith .

A smooth M-bundle is said to be negatively curved if its fibers are equipped with Riemannian metrics of negative sectional curvature, varying continuously from fiber to fiber. The difference between negatively curved M-bundles and smooth M-bundles is measured by the space of all negatively curved metrics on M. In this talk I will show that the latter space has non-trivial rational homotopy groups, provided certain dimension constraints are satisfied. Hence the two bundle theories generally differ. 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.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Millstein Room, The University Library Lasu INNER SPACE 6 KING’S PARADE CAMBRIDGE www.nnerspace.org/cambridge

Other talks

Group Work LMB Seminar - Mechanisms of mRNA packaging and export Christmas Social Evening & Annual General Meeting Tea and Coffee Break TOWARD AFFORDABLE PREVENTIVE HEALTHCARE: How basic science addresses grand challenges Royal Papworth Hospital and Acute Medicine
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity