Пространство аффинных связностей почти эрмитова многообразия
We consider affine connections determined by an almost Hermitian structure of a smooth manifold. We prove that the affine space of connections considered has dimension 12 if and only if the Lie form of the almost Hermitian structure is nonzero. We find connections that define post-Riemannian geometries and almost Hermitian connections in the class W4. We examine a conformal transformation of an almost Hermitian structure and an affine mapping of connections generated by this transformation and find a connection invariant under this mapping.