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LCK metrics on toric LCS manifolds

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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… Click to show full abstract

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 Kahler metric on a compact manifold admits a positive potential.

Keywords: lcs manifolds; toric lcs; geometry; lck metrics; metrics toric

Journal Title: Journal of Geometry and Physics
Year Published: 2020

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