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arXiv · 2202.08012

On Locally Conformally K\" ahler metrics on Oeljeklaus-Toma Manifolds

Stefan Deaconu·Victor Vuletescu
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Abstract

We show that Oeljeklaus-Toma manifolds $X(K, U)$ where $K$ is a number field of signature $(s, t)$ such that $s\geq 1,$ $t\geq 2$ and $s\geq 2t$ admit no lck metric. Combined with the earlier results by K. Oeljeklaus - M. Toma and A. Dubickas this completely solves the problem of existence of LCK metrics on Oeljeklaus-Toma manifolds.

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Stefan Deaconu, Victor Vuletescu. 2022-02-16. On Locally Conformally K\" ahler metrics on Oeljeklaus-Toma Manifolds. https://arxiv.org/abs/2202.08012

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