The theory of twistors on foliated manifolds is developed. We construct the twistor space of the normal bundle of a foliation. 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 suitably defined Riemannian foliation we obtain orbifold versions of the classical results as a simple consequence of the results on foliated mappings.

中文翻译：

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叶状流形上的扭曲空间

发展了叶状流形上的扭量理论。我们构造了叶的法向丛的扭量空间。证明了扭量理论的经典构造导致叶对象，并允许制定和证明一些全纯映射的著名结果的叶版本。由于任何 orbifold 都可以理解为适当定义的黎曼叶面的叶空间，我们获得了经典结果的 orbifold 版本，作为叶面映射结果的简单结果。