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20132026
most citedCurvewise characterizations of minimal upper gradients and the construction of a Sobolev differential

10 citations · 20 across the 22 of their papers we have counts for

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math.MG2026

Infinitesimally Euclidean metric surfaces

Alexander Lytchak, Elefterios Soultanis

We prove the equivalence of several notions of infinitesimally Euclidean-like behaviour for metric surfaces appearing in the literature. We obtain in particular that metric surface…

math.MG2026

Embeddability and rectifiability of Lipschitz differentiability spaces

Ivan Caamano, Sylvester Eriksson-Bique, Elefterios Soultanis

We prove that Lipschitz differentiability spaces which bi-Lipschitz embed into an RNP-space are countably rectifiable. In contrast to earlier methods of Cheeger and Kleiner, our ap…

math.MG2026

Limits of mapping packages and tangents of Sobolev maps

Milica Caković, Elefterios Soultanis

We show the existence of ultralimits of sequences of Hajlasz-Sobolev mappings when converges to a limit space in the pointed measured Gromov (pmG) sense, par…