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arXiv · 2609.18749

Uniqueness of embedded minimal Lagrangian tori in $\mathbb{CP}^2$

Yong Luo·Hui Ma·Jiabin Yin
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Abstract

We prove that any embedded minimal Lagrangian torus in the complex projective plane is congruent to the Clifford torus. The proof uses a two-point function constructed from normalized horizontal lifts to the five-sphere.

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Yong Luo, Hui Ma, Jiabin Yin. 2026-09-16. Uniqueness of embedded minimal Lagrangian tori in $\mathbb{CP}^2$. https://arxiv.org/abs/2609.18749

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