I am looking for the definition of lagrangian tori for symplectic manifold $(M,\omega)$ ?
2026-03-26 20:39:32.1774557572
What is the Lagrangian tori?
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Searching through the literature suggests (see e.g. M. Audin, Torus actions on symplectic manifolds, 2004, p. 89) that a Lagrangian torus is a submanifold which is (diffeomorphic to) the torus $\mathbb{T}^n \equiv \mathbb{S}^1 \times \dots \times \mathbb{S}^1$ and is a Lagrangian submanifold at the same time.