Abstract |
Consider a closed orientable surface of negative Euler characteristic.
In joint work with A. Katok, we showed the flexibility of metric and
topological entropies of geodesic flow in the class of negatively
curved metrics of fixed total area. In this talk, we will discuss the
aforementioned result and the flexibility of entropies under the
additional restriction that the metrics we consider are conformally
equivalent to a fixed hyperbolic metric. It turns out that some
restrictions arise in conformal classes. Also, we will point out some
geometric consequences for those families of Riemannian metrics (joint
with T. Barthelme).
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