Harmonic surfaces in the Cayley plane

N. Correia*, R. Pacheco*, M. Svensson*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

We consider the twistor theory of nilconformal harmonic maps from a Riemann surface into the Cayley plane (Formula presented.). By exhibiting this symmetric space as a submanifold of the Grassmannian of 10-dimensional subspaces of the fundamental representation of (Formula presented.), techniques and constructions similar to those used in earlier works on twistor constructions of nilconformal harmonic maps into classical Grassmannians can also be applied in this case. The originality of our approach lies on the use of the classification of nilpotent orbits in Lie algebras as described by Djoković.

Original languageEnglish
JournalJournal of the London Mathematical Society
Volume103
Issue number2
Pages (from-to)353-371
ISSN0024-6107
DOIs
Publication statusPublished - Mar 2021

Keywords

  • 53C43 (primary)
  • 58E20

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