4 papers
Convergence of Lorentzian spaces and curvature bounds for generalized cones
Christian Ketterer
The goal of this article is twofold. We introduce a notion of convergence for Lorentzian pre-length spaces, -convergence, that extends previous convergence notions in this co…
Warped products over one-dimensional base spaces and the RCD condition
Christian Ketterer
We prove the Riemannian curvature-dimension condition for an -warped product over a one-dimensional base space with a Lipschitz functi…
Warped products and synthetic lower curvature bounds: an overview
Christian Ketterer
This is a survey about the contruction of warped products between (semi-)Riemannian manifolds and metric (measure) spaces. The resulting spaces will be semi-Riemannian manifolds, m…
Glued spaces and lower curvature bounds
Christian Ketterer
In this short note we survey theorems and provide conjectures on gluing constructions under lower curvature bounds in smooth and non-smooth context. Focusing on synthetic lower Ric…