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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
Grama, Lino [1] ; Martins, Ricardo Miranda [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Dept Math, Inst Math Stat & Sci Comp, Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: INDAGATIONES MATHEMATICAE-NEW SERIES; v. 23, n. 1-2, p. 95-104, MAR 2012.
Web of Science Citations: 5
Abstract

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)

FAPESP's process: 07/05215-4 - The Hamiltonian structure of normal forms for elliptic equilibria of reversible vector fields in 4D and 6D
Grantee:Ricardo Miranda Martins
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 10/17034-7 - Differential geometry on homogeneous spaces
Grantee:Lino Anderson da Silva Grama
Support Opportunities: Scholarships in Brazil - Post-Doctoral