5 papers · 1 filter
Hitchin grafting representations I: Geometry
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty
We give a geometric interpretation of Fock--Goncharov positivity and show that bending deformations of Fuchsian representations stabilize a uniform Finsler quasi-convex disk in the…
Kähler-Einstein metrics of negative curvature
Henri Guenancia, Ursula Hamenstädt
Given any integer , we construct a compact Kähler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.
Negatively curved Einstein metrics on Gromov-Thurston manifolds
Ursula Hamenstädt, Frieder Jäckel
For every we construct infinitely many mutually not homotopic closed manifolds of dimension which admit a negatively curved Einstein metric but no locally symmetric m…
Hitchin grafting representations II: Dynamics
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty +1
The Hitchin component of the character variety of representations of a surface group into for some can be equipped with a pressure…
Stability of Einstein metrics and effective hyperbolization in large Hempel distance
Ursula Hamenstädt, Frieder Jäckel
Extending earlier work of Tian, we show that if a manifold admits a metric that is almost hyperbolic in a suitable sense, then there exists an Einstein metric that is close to the…