- Series
- CDSNS Colloquium
- Time
- Monday, March 12, 2012 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Victoria Sadovskaya – Univ. of Southern Alabama
- Organizer
- Rafael de la Llave
A linear cocycle over a diffeomorphism f of a manifold M is
an automorphism of a vector bundle over M that projects to f.
An important example is given by the differential Df or its
restriction to an invariant sub-bundle. We consider a Holder
continuous linear cocycle over a hyperbolic system and explore
what conclusions can be made based on its properties at the
periodic points of f. In particular, we obtain criteria for
a cocycle to be isometric or conformal and discuss applications
and further developments.