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math.DG2023
Generalized products and Lorentzian length spaces
Elefterios Soultanis
We construct a Lorentzian length space with an orthogonal splitting on a product of an interval and a metric space, and use this framework to consider the relationship…
math.DG2023
Asymptotically mean value harmonic functions in sub-Riemannian and RCD settings
Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
We consider weakly and strongly asymptotically mean value harmonic (amv-harmonic) functions on subriemannian and RCD settings. We demonstrate that, in non-collapsed RCD-spaces with…
math.MG2023★ 2 cited
A non-compact convex hull in generalized non-positive curvature
Giuliano Basso, Yannick Krifka, Elefterios Soultanis
In this article, we are interested in metric spaces that satisfy a weak non-positive curvature condition in the sense that they admit a conical geodesic bicombing. We show that the…