  In this paper we completely classify the homogeneous two-spheres, especially,
the minimal homogeneous ones in the quaternionic projective space
$\textbf{HP}^n$. According to our classification, more minimal constant curved
two-spheres in $\textbf{HP}^n$ are obtained than Ohnita conjectured in the
paper "Homogeneous harmonic maps into projective space, Tokyo J Math, 1990,
13(1): 87-116".
