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

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

2006-10-19

arxiv.org/abs/math/0610589v1

Mathematics

Differential Geometry

9 pages

Scientific paper

10.1063/1.2815906

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

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