1987Proceedings of the American Mathematical SocietyOpen access

Orthogonal complex structures on 𝑆⁶

Claude R. LeBrun

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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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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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Available 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.

Key concepts: Mathematics, Hermitian matrix, Pure mathematics, Metric (unit), Algebra over a field, Engineering, Operations management

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