Franz Luggin

collaborators

3 papers

math.FA2025

Isometric Representation of Lipschitz-Free Spaces over Connected Orientable Riemannian Manifolds

Franz Luggin

We show that the Lipschitz-Free Space over a connected orientable $n$ -di\-men\-sio\-nal Riemannian manifold $M$ is isometrically isomorphic to a quotient of $L^{1} (M, T M)$ , the integr…

math.FA2024

Tilings of the Hyperbolic Space and Lipschitz Functions

Christian Bargetz, Franz Luggin, Tommaso Russo

We use a special tiling for the hyperbolic $d$ -space $H^{d}$ for $d = 2, 3, 4$ to construct an (almost) explicit isomorphism between the Lipschitz-free space $\mathcal{F}(\mathb…

math.LO2024

Homogeneous isosceles-free spaces

Christian Bargetz, Adam BartoÅ¡, WiesÅaw KubiÅ +1

We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we c…