Equivalence of sub-Laplacian on Polarized groups
Differential Geometry
2025-01-03 v1 Analysis of PDEs
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.
Cite
@article{arxiv.2501.00576,
title = {Equivalence of sub-Laplacian on Polarized groups},
author = {Antoni Kijowski and Sebastiano Nicolussi Golo and Ben Warhurst},
journal= {arXiv preprint arXiv:2501.00576},
year = {2025}
}
Comments
19 pages