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arXiv · 1405.3405

S.-S. Chern's study of almost-complex structures on the six-sphere

Robert L. Bryant
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Abstract

In 2003, S.-s. Chern began a study of almost-complex structures on the 6-sphere, with the idea of exploiting the special properties of its well-known almost-complex structure invariant under the exceptional group $G_2$. While he did not solve the (currently still open) problem of determining whether there exists an integrable almost-complex structure on the 6-sphere, he did prove a significant identity that resolves the question for an interesting class of almost-complex structures on the 6-sphere.

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Robert L. Bryant. 2014-05-14. S.-S. Chern's study of almost-complex structures on the six-sphere. https://arxiv.org/abs/1405.3405

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