论文标题
在当地的共同k \“ oeljeklaus-toma歧管上的ahler指标
On Locally Conformally K\" ahler metrics on Oeljeklaus-Toma Manifolds
论文作者
论文摘要
我们表明，oeljeklaus-toma歧管$ x（k，u）$ $ k $是签名$（s，t）$的数字字段，因此$ s \ geq 1，$ $ $ $ $ $ t \ geq 2 $和$ s \ s \ s \ geq 2t $ aff no lck metric no lck metric。结合K. oeljeklaus -M. Toma和A. Dubickas的较早结果，这完全解决了在Oeljeklaus -Toma歧管上LCK指标存在的问题。
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.
