Papers Published
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