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Almost complex structures on the orthogonal twistor bundle

Published online by Cambridge University Press:  17 April 2009

Kichoon Yang
Kichoon Yang
Affiliation:
Department of Mathematics, Arkansas State University, State University AR72467, United States of America
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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

References

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