论文标题
Nilmanifolds上的SKT结构
SKT structures on nilmanifolds
论文作者
论文摘要
本文的目的是研究Nilmanifolds上不变的SKT结构的存在。更确切地说，我们对是否存在$ k $ step（$ k> 2 $）复杂Nilmanifold承认不变的SKT度量的问题给出了负面答案。我们还提供了一种结构，该构造是一种工具，可以在任意维度上以$ 2 $ - 步骤Nilmanifolds的价格生成不变的SKT结构示例。
The aim of this article is to study the existence of invariant SKT structures on nilmanifolds. More precisely, we give a negative answer to the question of whether there exist a $k$-step ($k>2$) complex nilmanifold admitting an invariant SKT metric. We also provide a construction which serves as a tool to generate examples of invariant SKT structures on $2$-step nilmanifolds in arbitrary dimensions.
