Closed one forms and exponential growth
Stefan Haller
(Universität Wien)
Abstract:
Suppose X is a vector field on a closed
manifold corresponding to a closed one form via a
Riemannian metric.
We say X satisfies the exponential growth condition
if the volumes of the unstable manifolds grow at most
exponentially with the distance to the critical point.
We will discuss this property and its implications
to dynamics and spectral geometry.
This is joint work with Dan Burghelea.