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

W. J. Zakrzewski
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Abstract

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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BibTeXRIS

W. J. Zakrzewski. 2006-10-19. Surfaces in ${\mathbb R}^{N^2-1}$ based on harmonic maps $S^2\to CP^{N-1}$. https://doi.org/10.1063/1.2815906

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