Non-existence of orthogonal complex structures on 6-sphere with a metric close to the round one

2017/08/24 by Kruglikov, Boris
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1708.07297

Abstract

I review several proofs for non-existence of orthogonal complex structures on the six-sphere, most notably by G. Bor and L. Hernandez-Lamoneda, but also by K. Sekigawa and L. Vanhecke that we generalize for metrics close to the round one. Invited talk at MAM-1 workshop, 27-30 March 2017, Marburg.

Related

• The Non-Existent Complex 6-Sphere
• Curvature, integrability, and the six sphere
• Orthogonal almost complex structures on the Riemannian products of even-dimensional round spheres
• The complex structure on the six dimensional sphere
• Hartogs phenomenon and the problem of complex spheres