4 citations · 6 across the 4 of their papers we have counts for
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Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass
Man-Chun Lee, Florian Litzinger, Miles Simon
In this work, we study the positive mass theorem under critical low regularity assumptions using Ricci flow smoothing. We show that asymptotically flat manifolds of regul…
Ricci-DeTurck flow of almost continuous -metrics, and metrics with distributional scalar curvature bounded from below
Florian Litzinger, Miles Simon
We consider Riemannian manifolds , , where is smooth, complete, with curvature bounded in absolute value by , and $(1-\varepsilon_0(n))…
Singularities of low entropy high codimension curve shortening flow
Florian Litzinger
We consider curve shortening flow of arbitrary codimension in an Euclidean background. We show that, close to a singularity, the flow is asymptotically planar, paralleling Altschul…
Optimal regularity for two-dimensional Pfaffian systems and the fundamental theorem of surface theory
Florian Litzinger
We prove that a Pfaffian system with coefficients in the critical space on a simply connected open subset of has a non-trivial solution in $W^{1,2…