D. Lenze

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math.MG2025

Characterization of higher rank via affine maps

David Lenze

We show that Hadamard spaces with geometric group actions admit affine maps that are not dilations, if and only if they are Riemannian symmetric spaces of higher rank, Euclidean bu…

math.MG2025

Isometric rigidity of $L^{2}$ -spaces with manifold targets

David Lenze

We describe the isometry group of $L^{2} (I^c ◯, M)$ for Riemannian manifolds $M$ of dimension at least two with irreducible universal cover. We establish a rigidity result for the isome…

Characterization of higher rank via affine maps

Isometric rigidity of L2-spaces with manifold targets

Isometric rigidity of $L^{2}$ -spaces with manifold targets