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Almost complex structures on the orthogonal twistor bundle
Published online by Cambridge University Press: 17 April 2009
Abstract
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We give a construction of 2s, s = n(n – 1)/2, many natural almost complex structures on the orthogonal twistor bundle over a 2n-dimensional Riemannian manifold. The usual almost complex structures are then characterised by the condition that they correspond to integrable invariant complex structures on the standard fibre which is identified with the hermitian symmetric space SO(2n)/U(n).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 337 - 344
- Copyright
- Copyright © Australian Mathematical Society 1989
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