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dc.contributor.author
Bettiol, Renato G.
dc.contributor.author
Lauret, Emilio Agustin
dc.contributor.author
Piccione, Paolo
dc.date.available
2023-05-05T16:17:05Z
dc.date.issued
2022-10
dc.identifier.citation
Bettiol, Renato G.; Lauret, Emilio Agustin; Piccione, Paolo; Full Laplace spectrum of distance spheres in symmetric spaces of rank one; Oxford University Press; Bulletin Of The London Mathematical Society; 54; 5; 10-2022; 1683-1704
dc.identifier.issn
0024-6093
dc.identifier.uri
http://hdl.handle.net/11336/196486
dc.description.abstract
We use Lie-theoretic methods to explicitly compute the full spectrum of the Laplace--Beltrami operator on homogeneous spheres which occur as geodesic distance spheres in (compact or noncompact) symmetric spaces of rank one, and provide a single unified formula for all cases. As an application, we find all resonant radii for distance spheres in the compact case, i.e., radii where there is bifurcation of embedded constant mean curvature spheres, and show that distance spheres are stable and locally rigid in the noncompact case.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Oxford University Press
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CROSS
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LAPLACE EIGENVALUE
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GEODESIC SPHERES
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BIFURCATION
dc.subject.classification
Matemática Pura
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Full Laplace spectrum of distance spheres in symmetric spaces of rank one
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-05-02T23:02:35Z
dc.journal.volume
54
dc.journal.number
5
dc.journal.pagination
1683-1704
dc.journal.pais
Reino Unido
dc.description.fil
Fil: Bettiol, Renato G.. City University of New York; Estados Unidos
dc.description.fil
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
dc.description.fil
Fil: Piccione, Paolo. Universidade de Sao Paulo; Brasil
dc.journal.title
Bulletin Of The London Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/10.1112/blms.12650
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/blms.12650
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2012.02349
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