Pré-Publication, Document De Travail Année : 2025

Approximating sub-Riemannian structures by Riemannian metrics and spectral convergence

Résumé

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.

Dates et versions

hal-05406090 , version 1 (09-12-2025)

Identifiants

Citer

Leo Harakeh, Luc Hillairet. Approximating sub-Riemannian structures by Riemannian metrics and spectral convergence. 2025. ⟨hal-05406090⟩
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