4-dimensional c-symplectic $S^1$-manifolds with non-empty fixed point set need not be c-Hamiltonian

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Department of Mathematics, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasaki-shi, 214 Japan

The aim of this article is to answer a question posed by J. Oprea in his talk at the Workshop "Homotopy and Geometry".

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