Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces

11 Mar 2019  ·  Ling He, Xianchao Zhou ·

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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Differential Geometry 53C26, 53C42