We prove the Hamiltonian unknottedness of real Lagrangian tori in the monotone $S^2\times S^2$, namely any real Lagrangian torus in $S^2\times S^2$ is Hamiltonian isotopic to the Clifford torus $\mathbb{T}_{\text{Clif}}$. The proof is based on a neck-stretching argument, Gromov's foliation theorem, and the Cieliebak-Schwingenheuer criterion.

中文翻译：

---

$$S^2\times S^2$$中真实拉格朗日圆环的无结性

我们证明了单调$S^2\times S^2$中实拉格朗日环面的哈密顿不结性，即$S^2\times S^2$中的任何实拉格朗日环面都是克利福德环面的哈密顿量同位素$\mathbb{ T}_{\text{Clif}}$。该证明基于令人费解的论证、Gromov 叶理定理和 Cieliebak-Schwingenheuer 准则。