Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

Abstract

We compute the Laplacian spectra of singular area-minimising hypersurfaces in the hyperbolic space with prescribed asymptotic data. We also obtain similar results in higher codimension, and explore related extremal properties of the bottom of the spectrum.

arXiv comment22 pages, final version; misprints corrected, minor stylistic changes made