Invariant affinor and sub-Kähler structures on homogeneous spaces (Q299156)

The authors consider \(G\)-invariant affinor metric structures and their particular cases, sub-Kähler structures, on a homogeneous space \(G/H\). The affine metric structures generalize almost Kähler and almost contact metric structures to manifolds of arbitrary dimension. They study invariant sub-Riemannian and sub-Kähler structures related to a fixed 1-form with a nontrivial radical. In addition to giving some results for homogeneous spaces of arbitrary dimension, the authors study these structures separately on homogeneous spaces of dimension 4 and 5.