Variational results on flag manifolds: Harmonic maps, geodesics and Einstein metrics

Autor(es)

Negreiros, Caio J. C. ^[1] ; Grama, Lino ^[1] ; da Silva, Neiton P. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Campinas UNICAMP, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil

^[2] Univ Fed Uberlandia, Dept Math, BR-38408100 Uberlandia, MG - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Fixed Point Theory and Applications; v. 10, n. 2, p. 307-325, DEC 2011.
• Citações Web of Science: 0

Resumo

In this paper, we study variational aspects for harmonic maps from M to several types of flag manifolds and the relationship with the rich Hermitian geometry of these manifolds. We consider maps that are harmonic with respect to any invariant metric on each flag manifold. They are called equiharmonic maps. We survey some recent results for the case where M is a Riemann surface or is one dimensional; i.e., we study equigeodesics on several types of flag manifolds. We also discuss some results concerning Einstein metrics on such manifolds. (AU)

• Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Luiz Antonio Barrera San Martin
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 10/17034-7 - Geometria diferencial em espaços homogêneos
• Beneficiário: Lino Anderson da Silva Grama
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado