dc.creator | Lauret, Jorge Ruben | |
dc.creator | Rodriguez Valencia, Edwin Alejandro | |
dc.date.accessioned | 2018-07-12T15:08:41Z | |
dc.date.accessioned | 2018-11-06T11:30:22Z | |
dc.date.available | 2018-07-12T15:08:41Z | |
dc.date.available | 2018-11-06T11:30:22Z | |
dc.date.created | 2018-07-12T15:08:41Z | |
dc.date.issued | 2015-09 | |
dc.identifier | Lauret, Jorge Ruben; Rodriguez Valencia, Edwin Alejandro; On the Chern-Ricci flow and its solitons for Lie groups; Wiley VCH Verlag; Mathematische Nachrichten; 288; 13; 9-2015; 1512-1526 | |
dc.identifier | 0025-584X | |
dc.identifier | http://hdl.handle.net/11336/51847 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1853673 | |
dc.description.abstract | This paper is concerned with Chern-Ricci flow evolution of left-invariant hermitian structures on Lie groups. We study the behavior of a solution, as t is approaching the first time singularity, by rescaling in order to prevent collapsing and obtain convergence in the pointed (or Cheeger-Gromov) sense to a Chern-Ricci soliton. We give some results on the Chern-Ricci form and the Lie group structure of the pointed limit in terms of the starting hermitian metric and, as an application, we obtain a complete picture for the class of solvable Lie groups having a codimension one normal abelian subgroup. We have also found a Chern-Ricci soliton hermitian metric on most of the complex surfaces which are solvmanifolds, including an unexpected shrinking soliton example. | |
dc.language | eng | |
dc.publisher | Wiley VCH Verlag | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201300333 | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201300333 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | CHERN-RICCI | |
dc.subject | FLOW | |
dc.subject | LIE GROUPS | |
dc.subject | SOLITONS | |
dc.title | On the Chern-Ricci flow and its solitons for Lie groups | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |
dc.type | Artículos de revistas | |