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In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space ℍℙ n . According to our classification, more minimal constant curved two-spheres in ℍℙ n are obtained than what Ohnita conjectured in the paper Homogeneous harmonic maps into complex projective spaces. Tokyo J Math, 1990, 13: 87–116".

Minimal two-spheres with constant curvature in the quaternionic projective space