On conformal minimal immersions of constant curvature from $$S^2$$ S 2 to $${ HP }^n$$ H P n

Abstract

We generalize here our general characterization of the harmonic sequence generated by conformal minimal immersions from $$S^2$$ to the quaternionic projective space $${ HP }^n$$ . Then we give a classification theorem of linearly full unramified conformal minimal immersions of constant curvature from $$S^2$$ to $${ HP }^n$$ under some conditions.