Abstract
We prove a weak version of the Arnol'd conjecture for Lagrangian submanifolds of conformal symplectic manifolds: given a Lagrangian manifold so that the restriction of the Lee form has non-zero Novikov homology, we show that the time-1 flow of a C 2-small Hamiltonian cannot disjoin the La-grangian from itself. We also give a short exposition of conformal symplectic geometry, aimed at readers who are familiar with (standard) symplectic or contact geometry.
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