标题： 局部共形Kähler几何中Oeljeklaus-Toma流形的特征描述 显示英文标题

标题： A characterization of Oeljeklaus-Toma manifolds in locally conformally Kähler geometry

摘要： 我们证明对于某一类可解李群，如果它们允许一个左不变的非Vaisman局部共形Kähler度量和一个格子，那么它们必须来自于Oeljeklaus-Toma流形的构造。 这一结果为数论考虑为何在Oeljeklaus-Toma流形的构造中起作用提供了自然的解释。 显示英文摘要

摘要： We show that for a certain class of solvable Lie groups, if they admit a left-invariant non-Vaisman locally conformally K\"{a}hler metric and a lattice, they must arise from the construction of Oeljeklaus-Toma manifolds. This result provides a natural explanation for why number-theoretic considerations play a role in the construction of Oeljeklaus-Toma manifolds.