247 citations · 1k across the 51 of their papers we have counts for
58 papers
Rigidity of Euclidean product structure: breakdown for low Sobolev exponents
Bruce Kleiner, Stefan Müller, László Székelyhidi +1
We develop a general toolbox to study solutions of differential inclusions for unbounded sets . A key notion is the concept that a subset of the s…
On the Multiplicity One Conjecture for Mean Curvature Flows of surfaces
Richard H Bamler, Bruce Kleiner
We prove the Multiplicity One Conjecture for mean curvature flows of surfaces in . Specifically, we show that any blow-up limit of such mean curvature flows has multi…
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…
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…
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…
Diffeomorphism groups of prime 3-manifolds
Richard H. Bamler, Bruce Kleiner
Let be a compact orientable non-Haken 3-manifold modeled on the Thurston geometry . We show that the diffeomorphism group deformation retracts to t…