PreprintarXiv licencearXiv
Uniqueness of embedded minimal Lagrangian tori in ℂℙ2
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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BibTeX
@misc{luo2026uniqueness,
title = {{Uniqueness of embedded minimal Lagrangian tori in $\mathbbCP^2$}},
author = {Yong Luo and Hui Ma and Jiabin Yin},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.18749},
eprint = {2609.18749},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.18749},
}
RIS
TY - UNPB
TI - Uniqueness of embedded minimal Lagrangian tori in ℂℙ^2
AU - Yong Luo
AU - Hui Ma
AU - Jiabin Yin
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.18749
UR - https://arxiv.org/abs/2609.18749
AB - 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.
ER -