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Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

  • Gerasim Kokarev

    University of Leeds, Leeds, UK
Remarks on the spectra of minimal hypersurfaces in the hyperbolic space cover

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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.

Cite this article

Gerasim Kokarev, Remarks on the spectra of minimal hypersurfaces in the hyperbolic space. Rev. Mat. Iberoam. (2025), published online first

DOI 10.4171/RMI/1560