Abstract
In this work we determine the essential spectrum of the stability operator of a submanifold of the hyperbolic space with constant mean curvature h < 1 and finite total curvature. In some particular cases, we also give a bound on the number of eigenvalues which are below the essential spectrum.
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Castillon, P. Spectral Properties of Constant Mean Curvature Submanifolds in Hyperbolic Space. Annals of Global Analysis and Geometry 17, 563–579 (1999). https://doi.org/10.1023/A:1006690108504
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DOI: https://doi.org/10.1023/A:1006690108504