Frieder Jackel

activity

20232026

collaborators

3 papers

math.AP2026

Constant potentials do not minimize the fundamental gap on convex domains in negatively curved Hadamard manifolds

Frieder Jäckel

We show that for every negatively curved Hadamard manifold $X$ and every $D > 0$ there exists a convex domain $Ω \subseteq X$ with diameter $D$ and a convex potential $V$ on $Ω$ suc…

math.AP2025

Constant potentials do not minimise the fundamental gap on convex domains in hyperbolic space

Julie Clutterbuck, Frieder Jäckel, Xuan Hien Nguyen

We show that for every $n \geq 2$ and $D > 0$ there exist a convex domain $Ω \subseteq H^{n}$ with diameter $D$ and a convex potential $V$ on $Ω$ such that the fundamental gap…

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…