Publications [#320296] of Robert Bryant

Papers Published

1. Bryant, RL, S.-S. Chern’s study of almost-complex structures on the six-sphere, edited by Bryant, R; Cheng, SY; Griffiths, P; Ma, X; Ni, L; Wallach, N, International Journal of Mathematics, vol. 32 no. 12 (November, 2021), World Scientific Publishing [arXiv:1405.3405], [doi]
   (last updated on 2025/02/21)

   Abstract:
   In April 2003, Chern began a study of almost-complex structures on the six-sphere, with the idea of exploiting the special properties of its well-known 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 S6, he did prove a significant identity that resolves the question for an interesting class of almost-complex structures on S6

   Keywords:
   6-sphere • complex structure • exceptional geometry