Orthogonal complex structures on 𝑆⁶
Claude R. LeBrun
Abstract
Open-access reader
Claude R. LeBrun
Abstract
Open-access reader
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.
Key concepts: Mathematics, Hermitian matrix, Pure mathematics, Metric (unit), Algebra over a field, Engineering, Operations management