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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Orthogonal complex structures on $ S\sp 6$


Author: Claude LeBrun
Journal: Proc. Amer. Math. Soc. 101 (1987), 136-138
MSC: Primary 53C15; Secondary 32J99
MathSciNet review: 897084
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Abstract: A complex structure on the six-sphere is called orthogonal if the standard metric is Hermitian with respect to it. While such structures locally exist in profusion, there is no such complex structure on the entire sphere.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0897084-7
PII: S 0002-9939(1987)0897084-7
Article copyright: © Copyright 1987 American Mathematical Society