Abstract:

The authors studied totally real biharmonic submanifolds in a quaternion projective space by the movingframe method under the guidance of  maximum principle, proved the minimum of pseudoumbilical biharmonic submanifolds and the rigidity theorem on the square of the lenghth of the second fundamental form. And we also gave several sufficient conditions under which complete totally real biharmonic submanifolds are minimal.

Key words: quaternion projective space, biharmonic, minimal submanifold