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math.DG2019
On the structure of RCD spaces with upper curvature bounds
Vitali Kapovitch, Martin Kell, Christian Ketterer
We develop a structure theory for RCD spaces with curvature bounded above in Alexandrov sense. In particular, we show that any such space is a topological manifold with boundary wh…
math.DG2018
On the existence of dual solutions for Lorentzian cost functions
Martin Kell, Stefan Suhr
The dual problem of optimal transportation in Lorentz-Finsler geometry is studied. It is shown that in general no solution exists even in the presence of an optimal coupling. Under…
math.DG2015★ 6 cited
A note on non-negatively curved Berwald spaces
Martin Kell
In this note it is shown that Berwald spaces admitting the same norm-preserving torsion-free affine connection have the same (weighted) Ricci curvatures. Combing this with Szabó's…