S.-s. Chern’s Study of Almost-complex Structures on the Six-sphere
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چکیده
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 wellknown almost-complex structure invariant under the exceptional group G2. While he did not solve the (currently still open) problem of determining whether there exists an integrable almost-complex structure on S, he did prove a significant identity that resolves the question for an interesting class of almost-complex structures on S.
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تاریخ انتشار 2014