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

Stefan Deaconu, Victor Vuletescu

We show that Oeljeklaus-Toma manifolds $X(K,U)$ where $K$ is a number field of signature $(s,t)$ such that $s\ge 1,$ $t\ge 2$ and $s\ge 2t$ admit no lck metric. Combined with…