Surfaces in ${\mathbb{R}}^{N^2-1}$ based on harmonic maps $S^2\to C{P}^{N-1}$

Abstract

We show that many surfaces in ${\mathbb{R}}^{N^2-1}$ can be generated by harmonic maps of $S^2\to C{P}^{N-1}$. These surfaces are based on the projectors in $C{P}^{N-1}$ which describe maps of $S^2\to C{P}^{N-1}$. In the case when these maps form the Veronese sequence all the surfaces have constant curvature.

9 pages

References in corpus (1)

• Susy CP^(N-1) model and surfaces in R^(N^2-1)