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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
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