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math.DG2024
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…
math.DG2023
Improved decay rate in a stability theorem for hyperbolic metrics
Frieder Jäckel
Recently, Ursula Hamenstädt and the author proved a stability result for finite volume hyperbolic metrics in dimension three that does not assume any upper volume bounds, but that…
math.DG2022
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…