43 citations · 161 across the 28 of their papers we have counts for
36 papers
Geometric and analytic structures on metric spaces homeomorphic to a manifold
Giuliano Basso, Denis Marti, Stefan Wenger
We study metric spaces homeomorphic to a closed oriented manifold from both geometric and analytic perspectives. We show that such spaces (which are sometimes called metric manifol…
Undistorted fillings in subsets of metric spaces
Giuliano Basso, Stefan Wenger, Robert Young
We prove that if a quasiconvex subset of a metric space has finite Nagata dimension and is Lipschitz -connected or admits Euclidean isoperimetric inequalities up to dime…
Quasiconformal almost parametrizations of metric surfaces
Damaris Meier, Stefan Wenger
We look for minimal conditions on a two-dimensional metric surface of locally finite Hausdorff -measure under which admits an (almost) parametrization with good geometri…
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…
Morrey's -conformality lemma in metric spaces
Martin Fitzi, Stefan Wenger
We provide a simpler proof and slight strengthening of Morrey's famous lemma on -conformal mappings. Our result more generally applies to Sobolev maps with values in a…
Area minimizing surfaces of bounded genus in metric spaces
Martin Fitzi, Stefan Wenger
The Plateau-Douglas problem asks to find an area minimizing surface of fixed or bounded genus spanning a given finite collection of Jordan curves in Euclidean space. In the present…