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Publication details

Document type
Journal articles

Document subtype
Full paper

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

Participants in the publication
Maria João Ferreira (Author)
Dep. Matemática
 Bruno Ascenso Simões (Author)
CMAF
Summary
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

Date of Publication
2018-01-31

Where published
Journal of Geometry

Publication Identifiers
ISSN - 0047-2468

Publisher
Springer Nature

Volume
109
Number
1

Number of pages
24

Document Identifiers
URL - http://dx.doi.org/10.1007/s00022-018-0406-6
DOI - https://doi.org/10.1007/s00022-018-0406-6


Export

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 }