activity
20042026
most citedPansu pullback and exterior differentiation for Sobolev maps on Carnot groups

6 citations · 25 across the 19 of their papers we have counts for

collaborators

23 papers

math.AP2026

Sobolev mappings of Euclidean space and product structure

Bruce Kleiner, Stefan Müller, László Székelyhidi +1

We consider bounded open connected sets and Sobolev maps , such that for almost every $x…

math.AP2025

Non-Euclidean elasticity for rods and almost isometric embeddings of geodesic tubes

Milan Kroemer, Stefan Müller

We consider a geodesic of length in an oriented Riemannian manifold and a thin tube around of radius . We study an 'elastic' energy per un…

math.AG2023

Parametrized systems of generalized polynomial equations: first applications to fewnomials

Stefan Müller, Georg Regensburger

We consider positive solutions to parametrized systems of generalized polynomial equations (with real exponents and positive parameters). By a fundamental result obtained in parall…

math.DG2022

Sobolev mappings and the spectral sequence for Rumin's filtration on the de Rham complex

Bruce Kleiner, Stefan Muller, Xiangdong Xie

We consider Rumin's filtration on the de Rham complex of a Carnot group. Although Pansu pullback by a Sobolev map is filtration preserving, it need not be a chain mapping. Nonethel…

math.DG2022

Rigidity of flag manifolds

Bruce Kleiner, Stefan Muller, Xiangdong Xie

Let be the group of upper triangular matrices with s on the diagonal, equipped with the standard Carnot group structure. We show that quasiconformal homeomorp…

math.DG2021

Sobolev mappings between nonrigid Carnot groups

Bruce Kleiner, Stefan Muller, Xiangdong Xie

We consider mappings between Carnot groups. In this paper, which is a continuation of "Pansu pullback and rigidity of mappings between Carnot groups" (arXiv:2004.09271), we focus o…