Estimation de petites valeurs propres du laplacien d’un revêtement de variétés riemanniennes compactes. (Estimation of small eigenvalues of the Laplacian of a covering of compact Riemannian manifolds).(French)Zbl 0585.53035

Summary: We give lower bounds for the small eigenvalues of the Laplacian of a covering M’$$\to M$$ of compact Riemannian manifolds in terms of the spectrum of an associated graph.

MSC:

 53C20 Global Riemannian geometry, including pinching 58J50 Spectral problems; spectral geometry; scattering theory on manifolds