Ursula Hamenstādt

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20052026

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math.GR2023

$L^{p}$ -cohomology for groups of isometries of Hadamard spaces

Ursula Hamenstädt

We show that a discrete group $Γ$ which admits a non-elementary isometric action on a Hadamard manifold of bounded negative curvature admits an isometric action on an $L^{p}$ -space $…

math.GR2023

Actions of finitely generated groups on compact metric spaces

Ursula Hamenstädt

Let $Γ$ be a finitely generated group which admits an action by homeomorphisms on a compact metrizable space $X$ . We show that there is a metric on $X$ defining the original topolo…

math.GR2018

The Geometry of the Handlebody Groups II: Dehn functions

Ursula Hamenstädt, Sebastian Hensel

We show that the Dehn function of the handlebody group is exponential in any genus $g \geq 3$ . On the other hand, we show that the handlebody group of genus $2$ is cubical, biautoma…

math.GR2005

Isometry groups of proper hyperbolic spaces

Ursula Hamenstadt

Let X be a proper hyperbolic geodesic metric space and let G be a closed subgroup of the isometry group Iso(X) of X. We show that if G is not amenable then its second continuous bo…

Lp-cohomology for groups of isometries of Hadamard spaces

Actions of finitely generated groups on compact metric spaces

The Geometry of the Handlebody Groups II: Dehn functions

Isometry groups of proper hyperbolic spaces

$L^{p}$ -cohomology for groups of isometries of Hadamard spaces