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dc.contributor.author
Lauret, Jorge Ruben
dc.contributor.author
Will, Cynthia Eugenia
dc.date.available
2021-10-12T19:45:15Z
dc.date.issued
2020-02-18
dc.identifier.citation
Lauret, Jorge Ruben; Will, Cynthia Eugenia; The Ricci pinching functional on solvmanifolds II; American Mathematical Society; Proceedings of the American Mathematical Society; 148; 6; 18-2-2020; 2601-2607
dc.identifier.issn
0002-9939
dc.identifier.uri
http://hdl.handle.net/11336/143332
dc.description.abstract
It is natural to ask whether solvsolitons are global maxima for the Riccipinching functional F := scal^2/ |Ric|^2 on the set of all left-invariant metrics on a given solvableLie group S, as it is to ask whether they are the only global maxima. A positive answer toboth questions was given in a recent paper by the same authors when the Lie algebra s ofS is either unimodular or has a codimension-one abelian ideal. In the present paper, weprove that this also holds in the following two cases: 1) s has a nilradical of codimension-one; 2) the nilradical n of s is abelian and the functional F is restricted to the set ofmetrics such that a is orthogonal to n, where s = a + n is the orthogonal decomposition with respectto the solvsoliton.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Ricci curvature
dc.subject
Lie algebras
dc.subject
Pinching conditions
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The Ricci pinching functional on solvmanifolds II
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-09-06T15:13:46Z
dc.identifier.eissn
1088-6826
dc.journal.volume
148
dc.journal.number
6
dc.journal.pagination
2601-2607
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Providence
dc.description.fil
Fil: Lauret, Jorge Ruben. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Will, Cynthia Eugenia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Proceedings of the American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/proc/2020-148-06/S0002-9939-2020-14957-X/home.html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/proc/14957
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