Harmonic Hopf constructions between spheres. II (Q1871856)

This paper is a continuation of [\textit{W.-Y. Ding}, Int. J. Math. 5, 849-860 (1994; Zbl 0822.58011)]. Its topic is the harmonic Hopf construction, a construction of harmonic maps between spheres by solving an ordinary differential equation invented by \textit{R. T. Smith} [Am. J. Math. 97, 364-385 (1975; Zbl 0321.57020)] and studied extensively by \textit{A. Ratto} [Topology 28, 379-388 (1989; Zbl 0692.55010)]. The three papers cited above answered the question of solvability of the ODE in the construction in most cases, leaving one case open. For the latter, existence of a solution is proved in the current paper, thus completing the picture of the harmonic Hopf construction.