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arXiv · 2603.22134

Pansu pullback and spectral complexes

Filippa Lo Biundo·Francesca Tripaldi
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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.

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Filippa Lo Biundo, Francesca Tripaldi. 2026-03-23. Pansu pullback and spectral complexes. https://arxiv.org/abs/2603.22134

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