Orthogonal complex structures on $S^ 6$
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- by Claude LeBrun
- Proc. Amer. Math. Soc. 101 (1987), 136-138
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897084-7
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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.References
- A. Borel and J.-P. Serre, Groupes de Lie et puissances réduites de Steenrod, Amer. J. Math. 75 (1953), 409–448 (French). MR 58213, DOI 10.2307/2372495
- F. Hirzebruch and K. Kodaira, On the complex projective spaces, J. Math. Pures Appl. (9) 36 (1957), 201–216. MR 92195
Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 101 (1987), 136-138
- MSC: Primary 53C15; Secondary 32J99
- DOI: https://doi.org/10.1090/S0002-9939-1987-0897084-7
- MathSciNet review: 897084