We provide models that are as close as possible to being formal for a large class of compact manifolds that admit a transversely Kähler structure, including Vaisman and quasi-Sasakian manifolds. As an application we are able to classify the corresponding nilmanifolds.

中文翻译：

---

准 Sasakian 和 Vaisman 流形的几乎形式化应用到 nilmanifolds

我们为允许横向 Kähler 结构的一大类紧凑流形提供尽可能接近形式化的模型，包括 Vaisman 和准 Sasakian 流形。作为应用程序，我们能够对相应的 nilmanifolds 进行分类。