Pansu pullback and spectral complexes
Differential Geometry
2026-03-24 v1 Metric Geometry
Abstract
In this paper, we prove the commutativity between the Pansu pullback of a smooth contact map between Carnot groups and the differentials appearing in the spectral complexes. As a direct application, we also present a way of "lifting" a Pansu derivative (viewed as a Lie algebra homomorphism) from Carnot groups to their central extensions.
Keywords
Cite
@article{arxiv.2603.22134,
title = {Pansu pullback and spectral complexes},
author = {Filippa Lo Biundo and Francesca Tripaldi},
journal= {arXiv preprint arXiv:2603.22134},
year = {2026}
}
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32 pages