## Gromov hyperbolicity of the Kobayashi metric

Site:
Date:
01/06/2015 - 11:00 - 12:00
Salle:
P2 131
Orateur:
Every domain in ${\mathbb C}^n$ has a host of intrinisc Finsler metrics associated to it. In this talk we focus on one of them, the Kobayshi metric and consider the question of when this metric is negatively curved in the sense of Gromov. It is not difficult to see that if the domain is strictly convex then the Kobayashi is negatively curved. The case of weakly convex domains is subtler. We discuss this case and related questions about negative curvature of domains.