Hi, it is a "well-known" result that the only 2d-sphere that allows(adsbygoogle = window.adsbygoogle || []).push({});

a complex structure is S^2 ; it is open whether S^6 admits a complex

structure, though it does admit an almost-complex structure. I know there

are proofs that require knowledge of characteristics classes; does anyone know

of proofs that do not require characteristic classes, or where knowledge of char. classes

is not absolutely necessary for understanding the proof?

Thanks.

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# 2D-Spheres with Complex Structure

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