Equi-harmonic maps and Plucker formulae for horizontal-holomorphic curves on flag manifolds

Autor(es)

Grama, Lino ^[1] ; Negreiros, Caio J. C. ^[1] ; San Martin, Luiz A. B. ^[1]

Afiliação do(s) autor(es)

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

• Tipo de documento: Artigo Científico
• Fonte: Annali di Matematica Pura ed Applicata; v. 193, n. 4, p. 1089-1102, AUG 2014.
• Citações Web of Science: 1

Resumo

In this paper, we derive Plucker formulae for holomorphic maps into the maximal flag manifolds of the complex semi-simple Lie groups. Holomorphy is taken with respect to either an invariant complex structure or an invariant almost complex structure that takes part of a -symplectic Hermitian structure. The maps are assumed to be horizontal, in the case of a complex structure or to satisfy a generalization of this hypothesis in the -symplectic case. We also provide a relationship between holomorphic-horizontal curves and equiharmonic maps. (AU)

• Processo FAPESP: 12/07482-8 - Aplicações da teoria de Lie em geometria simplética e hermitiana de espaços homogêneos
• Beneficiário: Lino Anderson da Silva Grama
• Modalidade de apoio: Auxílio à Pesquisa - Regular