3 citations · 5 across the 13 of their papers we have counts for
16 papers
On the non-slippery slope: Some observations on a recent paper on rolling bodies published in Nature
Olaf Müller
An interesting recent paper in Nature explores a new method to construct solid bodies rolling along given curves on an inclined plane, based on the Gauss Theorem. The present artic…
Dimensions of ordered spaces and Lorentzian length spaces
Olaf Müller
After calculating the Dushnik-Miller dimension of Minkowski spaces to be countable infinity, we define a novel notion of dimension for ordered spaces recovering the correct manifol…
Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces
Olaf Müller
We construct analoga of Gromov-Hausdorff space for Lorentzian distances and show a Gromov precompactness result for one of them. After calculating the Dushnik-Miller dimension of M…
Connected holonomy is lower semicontinuous
Olaf Müller
In this article, we examine continuity properties of the maps and $\Hol^0$ assigning, on a fixed manifold , to a metric on its holonomy class resp. restricted holonom…
A local systolic inequality and Gromov's filling area conjecture
Olaf Müller
The article treats some questions around Gromov's filling area conjecture. It intended to show that any filling with volume would not be attained and to show a local systol…
Lorentzian Gromov-Hausdorff theory and finiteness results
Olaf Müller
Via a functor from certain Lorentzian to Riemannian manifolds, we obtain a finiteness result.