【摘要】 利用ＱＰ～ｎ上实超曲面与其在Ｓ（４ｎ＋３）上的Ｈｏｐｆ原像的形状算子间的关系，讨论了四元数射影空问ＱＰ～ｎ上的等参超曲面，指出ＱＰ～ｎ上的某些等参超曲面之不同主曲率个数函数ｇ不为常数．更多还原

【Abstract】 The isoparametric hypersurfaces in quaternion projective spaces QPn are discussed by using the relationship between the two shape operators of a real hypersurface in QPn and its inverse image under the Hopf map in S~4n+3. And the nonconstancy of the number functions of distinct principal curvatures of some isoparametric hypersurfaces in QPn is Pointed.更多还原