Darboux-Weinstein theorem for locally conformally symplectic manifolds

preprint2015arXivOpen access

Abstract

A locally conformally symplectic (LCS) form is an almost symplectic form ωω such that a closed one-form θθ exists with dω=θ∧ωdω= θ\wedge ω. 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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