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arXiv · 2004.09271

Pansu pullback and rigidity of mappings between Carnot groups

Bruce Kleiner·Stefan Muller·Xiangdong Xie
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Abstract

This is the first in a series of papers on geometric mapping theory in Carnot groups -- and more generally equiregular manifolds -- in which we prove a number of new structural results for Sobolev (in particular quasisymmetric) mappings, establishing (partial) rigidity or (partial) regularity theorems, depending on the context.

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Bruce Kleiner, Stefan Muller, Xiangdong Xie. 2020-04-20. Pansu pullback and rigidity of mappings between Carnot groups. https://arxiv.org/abs/2004.09271

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