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arXiv · 2501.00576

Equivalence of sub-Laplacian on Polarized groups

Antoni Kijowski·Sebastiano Nicolussi Golo·Ben Warhurst
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Abstract

We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians. We show they are sub-Riemannian conformal submersions. Our work clarifies the analysis initiated on Carnot groups in \cite{MR2363343}. In particular, we show that the sub-Laplacian in a Carnot group determines the sub-Riemannian structure.

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Antoni Kijowski, Sebastiano Nicolussi Golo, Ben Warhurst. 2024-12-31. Equivalence of sub-Laplacian on Polarized groups. https://arxiv.org/abs/2501.00576

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