Pansu pullback and spectral complexes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910066177736704 |
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| author | Biundo, Filippa Lo Tripaldi, Francesca |
| author_facet | Biundo, Filippa Lo Tripaldi, Francesca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22134 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Pansu pullback and spectral complexes Biundo, Filippa Lo Tripaldi, Francesca Differential Geometry Metric Geometry 46L87, 53C17, 22E25, 30L99, 18G40 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. |
| title | Pansu pullback and spectral complexes |
| topic | Differential Geometry Metric Geometry 46L87, 53C17, 22E25, 30L99, 18G40 |
| url | https://arxiv.org/abs/2603.22134 |