Quasi-Kähler Structures of Cohomogeneity 1 on $ S^{2}\times S^{4} $

Abstract

We construct an example of a quasi-Kähler structure of cohomogeneity 1 on S 2 × S 4 .

Some classes of almost Hermitian structures that can be realized on $S^6$

“…where ι A(ψ) Vol = ψ for an arbitrary 5-form ψ. Detailed calculations for K were presented in [14]. Such a structure exists if and only if the following conditions are satisfied:…”