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dc.contributor.author
Lafuente, Ramiro Augusto  
dc.date.available
2018-03-07T19:09:16Z  
dc.date.issued
2015-02  
dc.identifier.citation
Lafuente, Ramiro Augusto; On homogeneous warped product Einstein metrics; Wiley; Bulletin Of The London Mathematical Society; 47; 1; 2-2015; 118-126  
dc.identifier.issn
0024-6093  
dc.identifier.uri
http://hdl.handle.net/11336/38172  
dc.description.abstract
In this article, we study homogeneous warped product Einstein metrics and their connections with homogeneous Ricci solitons. We show that homogeneous (Λ, n + m)-Einstein manifolds (which are the bases of homogeneous warped product Einstein metrics) are one-dimensional extensions of algebraic solitons. This answers a question from a paper of He, Petersen and Wylie, where they prove the converse statement. Our proof is strongly based on their results, but it also makes use of sharp tools from the theory of homogeneous Ricci solitons. As an application, we obtain that any homogeneous warped product Einstein metric with homogeneous base is diffeomorphic to a product of homogeneous Einstein manifolds.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Wiley  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Homogeneous Manifold  
dc.subject
Einstein Metric  
dc.subject
Warped Product  
dc.subject
Algebraic Soliton  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On homogeneous warped product Einstein metrics  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-03-06T17:43:46Z  
dc.journal.volume
47  
dc.journal.number
1  
dc.journal.pagination
118-126  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Hoboken  
dc.description.fil
Fil: Lafuente, Ramiro Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina  
dc.journal.title
Bulletin Of The London Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/blms/bdu103  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1112/blms/bdu103/abstract