Gerasim Yur'evich Kokarev
Abstract
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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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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.
Key concepts: Codimension, Hyperbolic space, Mathematics, Space (punctuation), Spectrum (functional analysis), Laplace operator, Pure mathematics, Mathematical analysis