论文标题
叶层上的扭曲空间
Twistor spaces on foliated manifolds
论文作者
论文摘要
开发了叶状歧管上的扭曲器理论，并构建了正常束的扭曲器空间。事实证明，扭曲理论的经典结构导致叶状物体，并允许在骨膜映射上制定和证明一些众所周知的结果的叶状版本。由于任何Orbifold都可以理解为合适定义的Riemannian叶叶的叶片空间，因此，我们获得了经典结果的Orbifold版本，这是对叶面映射结果的简单结果。
The theory of twistors on foliated manifolds is developed and the twistor space of the normal bundle is constructed. It is demonstrated that the classical constructions of the twistor theory lead to foliated objects and permit to formulate and prove foliated versions of some well-known results on holomorphic mappings. Since any orbifold can be understood as the leaf space of a suitable defined Riemannian foliation we obtain orbifold versions of the classical results as a simple consequence of the results on foliated mappings.
