Harmonic surfaces in the Cayley plane
Differential Geometry
2019-10-01 v2
Abstract
We consider the twistor theory of nilconformal harmonic maps from a Riemann surface into the Cayley plane . By exhibiting this symmetric space as a submanifold of the Grassmannian of -dimensional subspaces of the fundamental representation of , 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 D. Djokovi\'{c}.
Cite
@article{arxiv.1905.08353,
title = {Harmonic surfaces in the Cayley plane},
author = {Nuno Correia and Rui Pacheco and Martin Svensson},
journal= {arXiv preprint arXiv:1905.08353},
year = {2019}
}