Surfaces in ${\mathbb R}^{N^2-1}$ based on harmonic maps $S^2\to CP^{N-1}$
Differential Geometry
2009-11-11 v1
Abstract
We show that many surfaces in can be generated by harmonic maps of . These surfaces are based on the projectors in which describe maps of . In the case when these maps form the Veronese sequence all the surfaces have constant curvature.
Cite
@article{arxiv.math/0610589,
title = {Surfaces in ${\mathbb R}^{N^2-1}$ based on harmonic maps $S^2\to CP^{N-1}$},
author = {W. J. Zakrzewski},
journal= {arXiv preprint arXiv:math/0610589},
year = {2009}
}
Comments
9 pages