46 citations · 317 across the 42 of their papers we have counts for
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math.DG2018
Ricci curvature in dimension 2
Alexander Lytchak, Stephan Stadler
We prove that in two dimensions the synthetic notions of lower bounds on sectional and on Ricci curvature coincide.
math.DG2018★ 10 cited
Topological regularity of spaces with an upper curvature bound
Alexander Lytchak, Koichi Nagano
We prove that a locally compact space with an upper curvature bound is a topological manifold if and only if all of its spaces of directions are homotopy equivalent and not contrac…
math.DG2018★ 7 cited
Geodesically complete spaces with an upper curvature bound
Alexander Lytchak, Koichi Nagano
We study geometric and topological properties of locally compact, geodesically complete spaces with an upper curvature bound. We control the size of singular subsets, discuss homot…