Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

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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Publication Details

Journal
Revista Matemática Iberoamericana
Published
2025-05-06
DOI
https://doi.org/10.4171/rmi/1560
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

Gerasim Kokarev
Revista Matemática Iberoamericana
Geometric Analysis and Curvature Flows
article

Remarks on the spectra of minimal hypersurfaces in the hyperbolic space

Gerasim Kokarev
article en

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.

Revista Matemática IberoamericanaVol. 41(5)
University of Leeds (GB)
Openalex Percentile: Top 86%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
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Remarks on the spectra of minimal hypersurfaces in the hyperbolic space — Gerasim Kokarev · Revista Matemática Iberoamericana (2025) | TGRS Research Map | TGRS