Totally real flat minimal surfaces in quaternionic projective spaces

He, Ling; Zhou, Xianchao

doi:10.1090/proc/15039

Totally real flat minimal surfaces in quaternionic projective spaces
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by Ling He and Xianchao Zhou PDF

Proc. Amer. Math. Soc. 148 (2020), 4025-4039 Request permission

Abstract:

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

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