On the existence of a complex structure on the six-sphere
Abstract: Existence of a complex structure on the six dimensional sphere
will be re-examined in this talk. We interprete a hypothetical
complex structure as a classical ground state of a non-linear Higgs
scalar field theory formulated on S^6. This classical vacuum solution is
then constructed by Fourier expansion from the obvious one of a similar
theory on the exceptional compact Lie group G_2.