Approximating sub-riemannian structures by Riemannian metrics and spectral convergence
Differential Geometry
2025-12-09 v1 Analysis of PDEs
Spectral Theory
Abstract
We construct an approximating sequence of Riemannian metrics tailored to a given sub-Riemannian structure. We prove that the sequence of associated Riemannian volumes converge to Popp's volume and we then proceed to study the spectral convergence of the associated Laplace operators.
Keywords
Cite
@article{arxiv.2512.07621,
title = {Approximating sub-riemannian structures by Riemannian metrics and spectral convergence},
author = {Leo Harakeh and Luc Hillairet},
journal= {arXiv preprint arXiv:2512.07621},
year = {2025}
}