Classification of conformal minimal immersions of constant curvature from S~2 to HP~2

摘要

In this paper, we study geometry of conformal minimal two-spheres immersed in quaternionic projective spaces.We firstly use Bahy-El-Dien andWood's results to obtain some characterizations of the harmonic sequences generated by conformal minimal immersions from S~2 to the quaternionic projective space HP~2. Then we give a classification theorem of linearly full totally unramified conformal minimal immersions of constant curvature from S~2 to the quaternionic projective space HP~2.