Kokarev, G. (2025) Remarks on the spectra of minimal hypersurfaces in the hyperbolic space. Revista matemática iberoamericana. ISSN 0213-2230
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.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | This is an author produced version of an article published in Revista Matemática Iberoamericana made available under the terms of the Creative Commons Attribution License (CC-BY), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Laplace spectrum, minimal submanifolds, area-minimising currents |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
| Depositing User: | Symplectic Publications |
| Date Deposited: | 29 Apr 2025 11:33 |
| Last Modified: | 03 Jun 2025 02:34 |
| Published Version: | https://ems.press/journals/rmi/articles/14298736 |
| Status: | Published online |
| Publisher: | European Mathematical Society Publishing House |
| Identification Number: | 10.4171/RMI/1560 |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225902 |
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