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The spectrum of the Laplacian and volume growth of proper minimal submanifolds
| dc.contributor.author | Bessa, G. Pacelli | |
| dc.contributor.author | Gimeno, Vicent | |
| dc.contributor.author | Polymerakis, Panagiotis | |
| dc.date.accessioned | 2022-10-14T14:46:09Z | |
| dc.date.available | 2022-10-14T14:46:09Z | |
| dc.date.issued | 2022-07 | |
| dc.identifier.citation | Bessa, G.P., Gimeno, V. & Polymerakis, P. The spectrum of the Laplacian and volume growth of proper minimal submanifolds. Math. Z. 301, 2761–2770 (2022). https://doi.org/10.1007/s00209-022-02999-5 | ca_CA |
| dc.identifier.issn | 0025-5874 | |
| dc.identifier.issn | 1432-1823 | |
| dc.identifier.uri | http://hdl.handle.net/10234/200393 | |
| dc.description.abstract | We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic version of Brooks’s essential spectrum estimate (Brooks, Math Z 178(4): 501–508, 1981, Thm. 1) and it gives a fairly general answer to a question of Yau (Asian J Math 4(1): 235– 278, 2000) about upper bounds for the first eigenvalue (bottom of the spectrum) of immersed minimal surfaces of R3. | ca_CA |
| dc.format.extent | 10 p. | ca_CA |
| dc.format.mimetype | application/pdf | ca_CA |
| dc.language.iso | eng | ca_CA |
| dc.publisher | Springer-Verlag GmbH Germany | ca_CA |
| dc.relation | Isoperimetría extrínseca, crecimiento del volumen y topología de subvariedades en una variedad con un polo. Aplicaciones a la teoría de la información cuántica | ca_CA |
| dc.relation | Análisis geométrico y aplicaciones | ca_CA |
| dc.relation.isPartOf | Mathematische Zeitschrift, Vol. 301 (2022) | ca_CA |
| dc.rights | © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 | ca_CA |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | ca_CA |
| dc.subject | essential spectrum | ca_CA |
| dc.subject | minimal submanifolds | ca_CA |
| dc.subject | volume growth | ca_CA |
| dc.subject | 58C40 | ca_CA |
| dc.subject | 53C42 | ca_CA |
| dc.title | The spectrum of the Laplacian and volume growth of proper minimal submanifolds | ca_CA |
| dc.type | info:eu-repo/semantics/article | ca_CA |
| dc.identifier.doi | https://doi.org/10.1007/s00209-022-02999-5 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
| dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
| project.funder.name | CNPq-Brazil | ca_CA |
| project.funder.name | Universitat Jaume I | ca_CA |
| project.funder.name | DGI -MINECO (FEDER) | ca_CA |
| project.funder.name | Max Planck Institute for Mathematics (Bonn) | ca_CA |
| oaire.awardNumber | 303057/2018-1 | ca_CA |
| oaire.awardNumber | P1-1B2012-18 | ca_CA |
| oaire.awardNumber | MTM2013-48371-C2-2-P | ca_CA |
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Excepto si se señala otra cosa, la licencia del ítem se describe como: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022
