Negreiros, Caio J. C.
San Martin, Luiz A. B.
Total Authors: 3
 Univ Estadual Campinas, UNICAMP, Inst Math Stat & Sci Computat, Campinas, SP - Brazil
Total Affiliations: 1
Annali di Matematica Pura ed Applicata;
Web of Science Citations:
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)