Elefterios Soultanis

activity

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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Showing 2025Show all

3 papers · 1 filter

math.DG2025

Pull-back of differential forms by multi-valued Sobolev maps, and the quasiregularity of the multi-valued inverse of a quasiregular map

Elefterios Soultanis

We use Almgren's framework of multi-valued maps to construct a multi-valued inverse $F : f (Ω) \to A_{d} (R^{n})$ of a quasiregular map $f : Ω \to R^{n}$ of finite degre…

math.MG2025

Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian

Jesús Núñez-Zimbrón, Enrico Pasqualetto, Elefterios Soultanis

We show that a metric space $X$ that, at every point, has a Gromov-Hausdorff tangent with the splitting property (i.e. every geodesic line splits off a factor $R$ ), is uni…

math.DG2025

Hilbert space factor of metric spaces

Thomas Foertsch, Alexander Lytchak, Elefterios Soultanis

We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off li…