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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, RM
Abstract: In this paper we study the behavior of the Ricci flow at infinity for the full flag manifold SU(3)IT using techniques of the qualitative theory of differential equations, in special the Poincare 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. (C) 2009 Elsevier Masson SAS. All rights reserved.
Subject: Flag manifolds
Ricci flow
Left-invariant metric
Poincare compactification
Country: França
Editor: Gauthier-villars/editions Elsevier
Citation: Bulletin Des Sciences Mathematiques. Gauthier-villars/editions Elsevier, v. 133, n. 5, n. 463, n. 469, 2009.
Rights: fechado
Identifier DOI: 10.1016/j.bulsci.2009.05.001
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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