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arXiv · 2512.07621

Approximating sub-riemannian structures by Riemannian metrics and spectral convergence

Leo Harakeh·Luc Hillairet
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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.

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BibTeXRIS

Leo Harakeh, Luc Hillairet. 2025-12-08. Approximating sub-riemannian structures by Riemannian metrics and spectral convergence. https://arxiv.org/abs/2512.07621

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