Harmonic maps from \(S^ 2\) to \(HP^ 2\) (Q1089651)

The main result of the paper is to classify all harmonic maps \(\phi\) of \(S^ 2\) into \({\mathbb{H}}P^ 2\). The case when \(\phi\) is isotropic has been settled earlier by \textit{S. Erdem} and \textit{J. C. Wood} [J. Lond. Math. Soc., II. Ser. 28, 161-174 (1983; Zbl 0492.58013)] using the idea of the classification theorem of \textit{J. Eells} and \textit{J. C. Wood} for harmonic maps of \(S^ 2\) into \({\mathbb{C}}P^ n\) [Adv. Math. 49, 217-263 (1983; Zbl 0528.58007)]. Here the author gives a detailed analysis of the harmonic nonisotropic maps \(\phi\) : \(S^ 2\to {\mathbb{H}}P^ 2\) by describing various curves associated to \(\phi\) and holomorphic bundles induced by \(\phi\) via the inclusion \({\mathbb{H}}P\subset G_ 2({\mathbb{C}}^ 6)\).