MathOverflowSeveral complex variables
Mathoverflow 1973
Does the 6-sphere admit a complex structure, i.e. an atlas of holomorphically compatible charts relating it to EuclideanSpace ℂ (Fin 3)?
Mathematical statement
Does the 6-sphere admit a complex structure, i.e. an atlas of holomorphically compatible charts
relating it to EuclideanSpace ℂ (Fin 3)?
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Pinned Lean formulation 1
mathoverflow_1973
theorem mathoverflow_1973 : answer(sorry) ↔ ∃ atlas : ChartedSpace (EuclideanSpace ℂ (Fin 3)) (unitSphere 6), IsManifold 𝓘(ℂ, EuclideanSpace ℂ (Fin 3)) 1 (unitSphere 6) := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References