Global behavior of the Ricci flow on generalized flag manifolds with two isotropy summands

Autor(es)

Grama, Lino ^[1] ; Martins, Ricardo Miranda ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, UNICAMP, Dept Math, Inst Math Stat & Sci Comp, Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INDAGATIONES MATHEMATICAE-NEW SERIES; v. 23, n. 1-2, p. 95-104, MAR 2012.
• Citações Web of Science: 5

Resumo

In this paper, we study the global behavior of the Ricci flow equation for two classes of homogeneous manifolds with two isotropy summands. Using methods of the qualitative theory of differential equations, we present the global phase portrait of such systems and derive some geometrical consequences on the structure of such manifolds under the action of the Ricci flow. (C) 2011 Royal Netherlands Academy of Arts and Sciences. Published by Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 07/05215-4 - Estrutura Hamiltoniana de campos reversíveis em torno de pontos de equilíbrio elípticos em 4D e 6D
• Beneficiário: Ricardo Miranda Martins
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 10/17034-7 - Geometria diferencial em espaços homogêneos
• Beneficiário: Lino Anderson da Silva Grama
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado