Problèmes de petites valeurs propres sur les surfaces de courbure moyenne constante

Castillon, Philippe

doi:10.1090/S0002-9939-01-06295-5

Problèmes de petites valeurs propres sur les surfaces de courbure moyenne constante
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by Philippe Castillon

Proc. Amer. Math. Soc. 130 (2002), 1153-1163

DOI: https://doi.org/10.1090/S0002-9939-01-06295-5

Published electronically: October 12, 2001

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Abstract:

This paper deals with the spectra of the Laplace and stability operators of a constant mean curvature surface in the hyperbolic space. In a preceding work, the author described the essential spectra of these operators, assuming that the surface is of finite total curvature. In this paper, we prove that these two operators have a finite number of eigenvalues below their essential spectra.

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