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

Grama, Lino; Negreiros, Caio J. C.; San Martin, Luiz A. B.

Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/88110

Type:	Artigo
Title:	Equi-harmonic maps and plücker formulae for horizontal-holomorphic curves on flag manifolds
Title Alternative:
Author:	Grama, Lino Negreiros, Caio J. C. San Martin, Luiz 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. In this paper, we derive Plücker formulae for holomorphicmaps 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 ta
Subject:	Variedades bandeira Mapas harmônicos Lie, Grupos semi-simples de
Country:	Alemanha
Editor:	Springer
Citation:	Annali Di Matematica Pura Ed Applicata. Springer Verlag, v. 193, n. 4, p. 1089 - 1102, 2014.
Rights:	fechado Fechado
Identifier DOI:	10.1007/s10231-012-0317-3
Address:	https://link.springer.com/article/10.1007/s10231-012-0317-3
Date Issue:	2014
Appears in Collections:	IMECC - Artigos e Outros Documentos

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