The title is meant as way to honor two great mathematicians that, although never actually
worked together, introduced concepts of convergence that perfectly match each other and …

We study the structure of Gromov-Hausdorff limits of sequences of Riemannian manifolds
$\{(M_\alpha^ n, g_\alpha)\} _ {\alpha\in A} $ whose Ricci curvature satisfies a uniform Kato …

We study rigidity problems for Riemannian and semi-Riemannian manifolds with metrics of
low regularity. Specifically, we prove a version of the Cheeger-Gromoll splitting theorem\cite …

In this work, we extend the existence theory of non-collapsed Ricci flows from point-wise
curvature lower bound to Kato-type curvature lower bound. As an application, we prove that …

The volume entropy of a compact metric measure space is known to be the exponential
growth rate of the measure lifted to its universal cover at infinity. For a compact Riemannian …

We study the structure of Gromov–Hausdorff limits of sequences of Riemannian manifolds
{(M α n, g α)} α∈ A whose Ricci curvature satisfies a uniform Kato bound. We first obtain …

In this note we will show the almost maximal volume entropy rigidity for manifolds with lower
integral Ricci curvature bound in the non-collapsing case: Given n, d, p> n 2, there exist δ (n …

Non-Hilbertian tangents to Hilbertian spaces Page 1 Proceedings of the Royal Society of
Edinburgh, 153, 811–832, 2023 DOI:10.1017/prm.2022.18 Non-Hilbertian tangents to …