Holomorphic vertical line bundle of the twistor space over a quaternionic manifold
The vertical bundle of the twistor fibration over a 4-dimensional self-dual manifold is a holomorphic line bundle and plays an important role in a study of the twistor space. On the other hand, the vertical bundle of the twistor space over a quaternionic manifold is not a holomorphic line bundle, in general. We shall give the condition for a vertical bundle to be a holomorphic line bundle.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 52(3), 485-499, 2000-07
The Mathematical Society of Japan