Твисторные расслоения на сфере

In this work the twistor fibrations on a four-dimensional sphere are investigated. It is shown, that the three-dimensional complex projective space can be considered as twistor fibration on a four-dimensional sphere and that any other twistor fibration is diffeomorphic to one. The explicit view of orthogonal almost complex integrable and non integrable structures on twistor fibration is provided, and the parametrization way for such structures is given. Also, in work some facts related to geometry and topology of three-dimensional complex projective space are mentioned.