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LCK metrics on toric LCS manifolds (1902.02212v1)
Published 6 Feb 2019 in math.DG and math.CV
Abstract: We show a bijective correspondence between compact toric locally conformally symplectic manifolds which admit a compatible complex structure and pairs $(C,a)$, where $C$ is a good cone in the dual Lie algebra of the torus and $a$ is a positive real number. Moreover, we prove that any toric locally conformally K\"ahler metric on a compact manifold admits a positive potential.
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