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arxiv: 1511.00227 · v1 · pith:JZI4XCJEnew · submitted 2015-11-01 · 🧮 math.DG · math.SG

Darboux-Weinstein theorem for locally conformally symplectic manifolds

classification 🧮 math.DG math.SG
keywords omegasymplecticconformallyformlocallythetaalmostapplication
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A locally conformally symplectic (LCS) form is an almost symplectic form $\omega$ such that a closed one-form $\theta$ exists with $d\omega = \theta \wedge \omega$. We present a version of the well-known result of Darboux and Weinstein in the LCS setting and give an application concerning Lagrangian submanifolds.

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