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July, 2000 Holomorphic vertical line bundle of the twistor space over a quaternionic manifold
Toshimasa KOBAYASHI
J. Math. Soc. Japan 52(3): 485-499 (July, 2000). DOI: 10.2969/jmsj/05230485

Abstract

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.

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Toshimasa KOBAYASHI. "Holomorphic vertical line bundle of the twistor space over a quaternionic manifold." J. Math. Soc. Japan 52 (3) 485 - 499, July, 2000. https://doi.org/10.2969/jmsj/05230485

Information

Published: July, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0995.53036
MathSciNet: MR1760600
Digital Object Identifier: 10.2969/jmsj/05230485

Subjects:
Primary: 53C07
Secondary: 53C10, 53C15

Rights: Copyright © 2000 Mathematical Society of Japan

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Vol.52 • No. 3 • July, 2000
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