Hartogs phenomenon and the problem of complex spheres

2017/09/05 by Zouaoui Mekri, Mekri, Zouaoui
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1709.02694

Abstract

In this paper, we solve in the negative the following problem : Is there any complex structure on the sphere S⁶?

Related

• The Non-Existent Complex 6-Sphere
• The complex structure on the six dimensional sphere
• S.-S. Chern's study of almost-complex structures on the six-sphere
• Non-existence of orthogonal complex structures on 6-sphere with a metric close to the round one
• A note on Kirchhoff's theorem for almost complex spheres I