1. Twistor spaces on foliated manifolds.
- Author
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Mohseni, Rouzbeh and Wolak, Robert A.
- Subjects
- *
HOLOMORPHIC functions , *TWISTOR theory , *FOLIATIONS (Mathematics) , *HARMONIC maps - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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