Holomorphic vertical line bundle of the twistor space over a quaternionic manifold

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概要

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• 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.

• 社団法人 日本数学会の論文

著者

• Kobayashi Toshimasa

  Department Of Mathematics Faculty Of Science Osaka University

関連論文

• Holomorphic vertical line bundle of the twistor space over a quaternionic manifold

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