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arXiv · 1902.02212

LCK metrics on toric LCS manifolds

Nicolina Istrati
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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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Nicolina Istrati. 2019-02-06. LCK metrics on toric LCS manifolds. https://doi.org/10.1016/j.geomphys.2019.103583

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