Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/92378
Type: Artigo de periódico
Title: The Ricci Flow Of Left-invariant Metrics On Full Flag Manifold Su (3) / T From A Dynamical Systems Point Of View
Author: Grama L.
Martins R.M.
Abstract: In this paper we study the behavior of the Ricci flow at infinity for the full flag manifold SU (3) / T using techniques of the qualitative theory of differential equations, in special the Poincaré compactification and Lyapunov exponents. We prove that there are four invariant lines for the Ricci flow equation, each one associated with a singularity corresponding to an Einstein metric. In such manifold, the bi-invariant normal metric is Einstein. Moreover, around each invariant line there is a cylinder of initial conditions such that the limit metric under the Ricci flow is the corresponding Einstein metric; in particular we obtain the convergence of left-invariant metrics to a bi-invariant metric under the Ricci flow. © 2009 Elsevier Masson SAS. All rights reserved.
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Rights: fechado
Identifier DOI: 10.1016/j.bulsci.2009.05.001
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-67650635158&partnerID=40&md5=f754808547190969862ea0ead4e8d6f2
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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