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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 |
Files in This Item:
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2-s2.0-84905115502.pdf | 267.83 kB | Adobe PDF | View/Open |
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