32 citations · 154 across the 12 of their papers we have counts for
10 papers · 1 filter
On quotients of spaces with Ricci curvature bounded below
Fernando Galaz-García, Martin Kell, Andrea Mondino +1
Let be a smooth Riemannian manifold and a compact Lie group acting on effectively and by isometries. It is well known that a lower bound of the sectional c…
Transport maps, non-branching sets of geodesics and measure rigidity
Martin Kell
In this paper we investigate the relationship between a general existence of transport maps of optimal couplings with absolutely continuous first marginal and the property of the b…
On the volume measure of non-smooth spaces with Ricci curvature bounded below
Martin Kell, Andrea Mondino
We prove that, given an -space , then it is possible to -essentially cover by measurable subsets with the following proper…
Symmetric orthogonality and non-expansive projections in metric spaces
Martin Kell
In this paper known results of symmetric orthogonality, as introduced by G. Birkhoff, and non-expansive nearest point projections are extended from the linear to the metric setting…
Sectional curvature-type conditions on metric spaces
Martin Kell
In the first part Busemann concavity as non-negative curvature is introduced and a bi-Lipschitz splitting theorem is shown. Furthermore, if the Hausdorff measure of a Busemann conc…
On Cheeger and Sobolev differentials in metric measure spaces
Martin Kell
Recently Gigli developed a Sobolev calculus on non-smooth spaces using module theory. In this paper it is shown that his theory fits nicely into the theory of differentiability spa…