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arXiv · 1903.04156

Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces

Ling He·Xianchao Zhou
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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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Ling He, Xianchao Zhou. 2019-03-11. Totally Real Flat Minimal Surfaces in Quaternionic Projective Spaces. https://doi.org/10.1090/proc%2F15039

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