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arXiv:math/0509442 [math.DG]AbstractReferencesReviewsResources

On the twistor space of pseudo-spheres

R. Albuquerque, Isabel M. C. Salavessa

Published 2005-09-20, updated 2005-09-23Version 2

We give a new proof that the sphere S^6 does not admit an integrable orthogonal complex structure, as in \cite{LeBrun}, following the methods from twistor theory. We present the twistor space of a pseudo-sphere S^{2n}_{2q}=SO_{2p+1,2q}/SO_{2p,2q} as a pseudo-K\"ahler symmetric space. We then consider orthogonal complex structures on the pseudo-sphere, only to prove such a structure cannot exist.

Comments: Added the MSC's hoping Arxiv will "run" a better distribuition through Subj-class's. The article has 20 pages
Journal: Differential Geometry and its Applications, 25 (2007), pp. 207-219
Categories: math.DG, math.CV
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