Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces

In this paper, we study totally real minimal surfaces in the quaternionic projective space H P n \mathbb {H}P^n . We prove that the linearly full totally real flat minimal surfaces of isotropy order n n in H P n \mathbb {H}P^n are two surfaces in C P n \mathbb {C}P^n , one of which is the Clifford solution, up to symplectic congruence.