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Type: Artigo de periódico
Title: Equi-harmonic Maps And Plücker Formulae For Horizontal-holomorphic Curves On Flag Manifolds
Author: Grama L.
Negreiros C.J.C.
San Martin L.A.B.
Abstract: In this paper, we derive Plücker 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 (1, 2)-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 (1, 2)-symplectic case. We also provide a relationship between holomorphic-horizontal curves and equiharmonic maps. © 2012 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg.
Editor: Springer Verlag
Rights: fechado
Identifier DOI: 10.1007/s10231-012-0317-3
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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