论文标题
在与叶面变形相关的特征类中
On a characteristic class associated with deformations of foliations
论文作者
论文摘要
研究了用于叶面变形的特征类别,称为fuks-lodder-kotschick类(简称FLK类)。似乎是否存在具有非平凡的FLK类的真实叶面。在本文中,我们展示了一些条件,以确保FLK类的微不足道。另一方面,我们表明,FLK类很容易成为横向全态叶子的不平凡。我们提出一个示例,并提供一个概括它的结构。
A characteristic class for deformations of foliations called the Fuks-Lodder-Kotschick class (FLK class for short) is studied. It seems unknown if there is a real foliation with non-trivial FLK class. In this article, we show some conditions to assure the triviality of the FLK class. On the other hand, we show that the FLK class is easily to be non-trivial for transversely holomorphic foliations. We present an example and give a construction which generalizes it.