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Generalized cones admitting a curvature-dimension condition
Matteo Calisti, Christian Ketterer, Clemens S\"amann
https://arxiv.org/abs/2506.02723 http…

Generalized cones admitting a curvature-dimension condition
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-Sturm and Ohta in the metric measure case, and à la Cavalletti-Mondino in Lorentzian signature. Here, a generalized cone is a warped product of a one-dimensional base space, which will be positive or negative definite, over a fiber that is a metric space. We prove that Riemannian or Lorentzian generalized cones over …