BIBLIOS

   Sistema de Gestão de Referências Bibliográficas de Ciências

Modo Visitante (Login)
Need help?


Voltar

Detalhes Referência

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
A note on the spectral deformation of harmonic maps from S-2 into the unitary group

Participantes na publicação
Maria João Ferreira (Author)
Dep. Matemática
 Bruno Ascenso Simões (Author)
CMAF
Resumo
In Ferreira et al. (Math Z 266:953–978, 2010), together with J. C. Wood, the authors gave a completely explicit formula for all harmonic maps from 2-spheres to the unitary group U(n) in terms of freely chosen meromorphic functions on S 2 S2 . The simplest harmonic maps are the isotropic ones. Using Morse theory Burstall and Guest (Math Ann 309:541–572, 1997) showed that the harmonic maps are partitioned into classes labeled by the isotropic ones. In this work, using the formula for harmonic maps aforementioned, we describe explicitly this procedure, showing how all harmonic maps can be built from the isotropic ones

Data de Publicação
2018-01-31

Suporte
Journal of Geometry

Identificadores da Publicação
ISSN - 0047-2468

Editora
Springer Nature

Volume
109
Fascículo
1

Número de Páginas
24

Identificadores do Documento
URL - http://dx.doi.org/10.1007/s00022-018-0406-6
DOI - https://doi.org/10.1007/s00022-018-0406-6


Exportar referência

APA
Maria João Ferreira, Bruno Ascenso Simões, (2018). A note on the spectral deformation of harmonic maps from S-2 into the unitary group. Journal of Geometry, 109, ISSN 0047-2468. eISSN . http://dx.doi.org/10.1007/s00022-018-0406-6

IEEE
Maria João Ferreira, Bruno Ascenso Simões, "A note on the spectral deformation of harmonic maps from S-2 into the unitary group" in Journal of Geometry, vol. 109, 2018. 10.1007/s00022-018-0406-6

BIBTEX
@article{37802, author = {Maria João Ferreira and Bruno Ascenso Simões}, title = {A note on the spectral deformation of harmonic maps from S-2 into the unitary group}, journal = {Journal of Geometry}, year = 2018, volume = 109 }