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dc.contributor.author
Bettiol, Renato  
dc.contributor.author
Lauret, Emilio Agustin  
dc.contributor.author
Piccione, Paolo  
dc.date.available
2022-08-04T15:17:17Z  
dc.date.issued
2022-01-12  
dc.identifier.citation
Bettiol, Renato; Lauret, Emilio Agustin; Piccione, Paolo; The first eigenvalue of a homogeneous CROSS; Springer; The Journal Of Geometric Analysis; 32; 76; 12-1-2022; 1-53  
dc.identifier.issn
1050-6926  
dc.identifier.uri
http://hdl.handle.net/11336/164222  
dc.description.abstract
We provide explicit formulae for the first eigenvalue of the Laplace--Beltrami operator on a compact rank one symmetric space (CROSS) endowed with any homogeneous metric. As consequences, we prove that homogeneous metrics on CROSSes are isospectral if and only if they are isometric, and also discuss their stability (or lack thereof) as solutions to the Yamabe problem.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
LAPLACE-BELTRAMI OPERATOR  
dc.subject
SYMMETRIC SPACE  
dc.subject
FIRST EIGENVALUE  
dc.subject
YAMABE PROBLEM  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The first eigenvalue of a homogeneous CROSS  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-07-04T19:18:14Z  
dc.journal.volume
32  
dc.journal.number
76  
dc.journal.pagination
1-53  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Bettiol, Renato. 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
The Journal Of Geometric Analysis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-021-00826-7  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s12220-021-00826-7  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2001.08471#:~:text=We%20provide%20explicit%20formulae%20for,endowed%20with%20any%20homogeneous%20metric.  

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