Orthogonal complex structures on S6

Claude Lebrun

doi:10.1090/S0002-9939-1987-0897084-7

Orthogonal complex structures on S⁶

Claude Lebrun

Mathematics

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

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.

Original language	English
Pages (from-to)	136-138
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	101
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-1987-0897084-7
State	Published - Sep 1987

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title = "Orthogonal complex structures on S6",

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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Orthogonal complex structures on S⁶

Abstract

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