3 citations · 4 across the 6 of their papers we have counts for
8 papers
A calibration on and Federer's product question
Roger Züst
Building upon the construction of a Cayley calibration adapted to a complex structure, we introduce a calibration in with . This enabl…
Lipschitz-volume rigidity of Lipschitz manifolds among integral currents
Roger Züst
We give sufficient conditions such that a volume preserving 1-Lipschitz map from a metric integral current onto an infinitesimally Euclidean Lipschitz manifold is an isometry.
The Riemannian hemisphere is almost calibrated in the injective hull of its boundary
Roger Züst
An exact differential two-form is constructed in the injective hull of the Riemannian circle, whose comass norm, defined via the inscribed Riemannian area on normed planes, is stat…
Partial regularity of almost minimizing rectifiable G chains in Hilbert space
Thierry De Pauw, Roger Züst
We adapt to an infinite dimensional ambient space E.R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments computations to establish that…
A solution of Gromov's Hölder equivalence problem for the Heisenberg group
Roger Züst
We show that a map with Hölder exponent bigger than from a quasi-convex metric space with vanishing first Lipschitz homology into the Sub-Riemannian Heisenberg group factors…
Matchings in metric spaces, the dual problem and calibrations modulo 2
Mircea Petrache, Roger Züst
We show that for a metric space with an even number of points there is a 1-Lipschitz map to a tree-like space with the same matching number. This result gives the first basic versi…
Some properties of Hölder surfaces in the Heisenberg group
Enrico Le Donne, Roger Züst
It is a folk conjecture that for alpha > 1/2 there is no alpha-Hoelder surface in the subRiemannian Heisenberg group. Namely, it is expected that there is no embedding from an open…
Integration of Hölder forms and currents in snowflake spaces
Roger Züst
For an oriented -dimensional Lipschitz manifold we give meaning to the integral in case the functions are merely H…