In this paper, we will obtain some new intrinsic rigidity theorems of compact totally real minimal submanifolds in a quaternion projective space. So the corresponding results due to B. Y. Chen and C. S. Houh as well as Y. B. Shen are improved.
"Totally Real Submanifolds in a Quaternion Projective Space." Tokyo J. Math. 19 (2) 411 - 418, December 1996. https://doi.org/10.3836/tjm/1270042529