Semi-Flat SU(1,2) and Split-G₂ Geometry on the Announced Complex Six-Sphere

A pseudo-Calabi–Yau metric, a minimal period immersion, and an exceptional real-form discriminant.

Conditional on Alpöge’s announced complex structure on S⁶, this preprint derives a natural semi-flat torsion-free SU(1,2) structure on the smooth torus-fibred locus, together with its cylindrical split-G₂ lift.

Preprint, 24 August 2026.