Mostrar el registro sencillo del ítem

dc.contributor.author
Lauret, Jorge Ruben  
dc.date.available
2018-09-21T15:04:48Z  
dc.date.issued
2017-03  
dc.identifier.citation
Lauret, Jorge Ruben; Laplacian flow of homogeneous G 2 -structures and its solitons; London Mathematical Society; Proceedings of the London Mathematical Society; 114; 3; 3-2017; 527-560  
dc.identifier.issn
0024-6115  
dc.identifier.uri
http://hdl.handle.net/11336/60558  
dc.description.abstract
We use the bracket flow/algebraic soliton approach to study the Laplacian flow of G2-structures and its solitons in the homogeneous case. We prove that any homogeneous Laplacian soliton is equivalent to a semi-algebraic soliton (that is, a G-invariant G2-structure on a homogeneous space G/K that flows by pull-back of automorphisms of G up to scaling). Algebraic solitons are geometrically characterized among Laplacian solitons as those with a 'diagonal' evolution. Unlike the Ricci flow case, where any homogeneous Ricci soliton is isometric to an algebraic soliton, we have found, as an application of the above characterization, an example of a left-invariant closed semi-algebraic soliton on a nilpotent Lie group which is not equivalent to any algebraic soliton. The (normalized) bracket flow evolution of such a soliton is periodic. In the context of solvable Lie groups with a codimension-one abelian normal subgroup, we obtain long-time existence for any closed Laplacian flow solution; furthermore, the norm of the torsion is strictly decreasing and converges to zero. We also classify algebraic solitons in this class and exhibit several explicit examples of closed expanding Laplacian solitons.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
London Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
53c44 (Primary)  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Laplacian flow of homogeneous G 2 -structures and its solitons  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-14T19:04:24Z  
dc.identifier.eissn
1460-244X  
dc.journal.volume
114  
dc.journal.number
3  
dc.journal.pagination
527-560  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Londres  
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  
dc.journal.title
Proceedings of the London Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms.12014  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms.12014