Lagrangian tori in a symplectic vector space and global symplectomorphisms (Q1358299)

Let \(L\) be a Lagrangian submanifold of the cotangent bundle, \(\mu(L)\) its Maslov class and \(\sigma(L)\) its symplectic action class. Then the Lagrangian manifold \(L\) is called monotone if \(\mu(L)= \lambda \sigma(L)\) for some \(\lambda \in\mathbb{R}\). Moreover, it is known that \(\lambda>0\) at least in the case of elementary tori [see \textit{C. Viterbo}, Invent. Math. 100, No. 2, 301-320 (1990; Zbl 0727.58015)]. The author proves the following result: For any \(\lambda>0\), there exist at least \(n\) monotone embedded Lagrangian tori in \(\mathbb{R}^n\) with \(\mu(*) =\lambda \sigma(*)\) which are not symplectomorphic to each other.