Elefterios Soultanis

activity

20172026

collaborators

Showing math.DGShow all

4 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.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…

math.DG2023

Generalized products and Lorentzian length spaces

Elefterios Soultanis

We construct a Lorentzian length space with an orthogonal splitting on a product $I \times X$ of an interval and a metric space, and use this framework to consider the relationship…

math.DG2020

Area minimizing surfaces in homotopy classes in metric spaces

Elefterios Soultanis, Stefan Wenger

We introduce and study a notion of relative 1-homotopy type for Sobolev maps from a surface to a metric space spanning a given collection of Jordan curves. We use this to establish…