JournalsrmiVol. 41, No. 5pp. 1665–1688

Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

  • Gerasim Kokarev

    University of 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.

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Gerasim Kokarev, Remarks on the spectra of minimal hypersurfaces in the hyperbolic space. Rev. Mat. Iberoam. 41 (2025), no. 5, pp. 1665–1688

DOI 10.4171/RMI/1560