Math @ Duke

Publications [#320296] of Robert Bryant
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 Bryant, RL, S.S. Chern's study of almostcomplex structures on the sixsphere
(May, 2014) [arXiv:1405.3405]
(last updated on 2018/11/12)
Abstract: In 2003, S.s. Chern began a study of almostcomplex structures on the
6sphere, with the idea of exploiting the special properties of its wellknown
almostcomplex 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 almostcomplex structure on the 6sphere, he did prove a
significant identity that resolves the question for an interesting class of
almostcomplex structures on the 6sphere.
Keywords: 6sphere • complex structure • exceptional geometry


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