Publications [#320296] of Robert Bryant

Preprints

  1. Bryant, RL, S.-S. Chern's study of almost-complex structures on the six-sphere (May, 2014)
    (last updated on 2017/12/11)

    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.

    Keywords:
    6-sphere • complex structure • exceptional geometry