45 citations · 76 across the 11 of their papers we have counts for
5 papers · 1 filter
Conformal transformations of metric spaces and Lorentzian pre-length spaces
Miguel Manzano, Karim Mosani, Clemens Sämann +1
We introduce conformal transformations in the synthetic setting of metric spaces and Lorentzian (pre-)length spaces. Our main focus lies on the Lorentzian case, where, motivated by…
A Lorentzian splitting theorem for continuously differentiable metrics and weights
Mathias Braun, Nicola Gigli, Robert J. McCann +2
We prove a splitting theorem for globally hyperbolic, weighted spacetimes with metrics and weights of regularity by combining elliptic techniques for the negative homogeneity…
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry
Mathias Braun, Clemens Sämann
We establish Gromov's celebrated reconstruction theorem in Lorentzian geometry. Alongside this result, we introduce and study a natural concept of isomorphy of normalized bounded L…
Generalized cones admitting a curvature-dimension condition
Matteo Calisti, Christian Ketterer, Clemens Sämann
We study (generalized) cones over metric spaces, both in Riemannian and Lorentzian signature. In particular, we establish synthetic lower Ricci curvature bounds à la Lott-Villani-S…
Lorentzian Gromov-Hausdorff convergence and pre-compactness
Andrea Mondino, Clemens Sämann
The goal of the paper is to introduce a convergence à la Gromov-Hausdorff for Lorentzian spaces, building on -nets consisting of causal diamonds and relying only on the time sep…