On almost contact metric 2- and 3-hypersurfaces in W4-manifolds

Abstract

The class of W4-manifolds is one of so-called "small" Gray-Hervella classes of almost Hermitian manifolds. Some specialists identify this class with the class of locally conformal Kählerian (LCK-) manifolds that is not absolutely correct. In fact, the class contains all locally conformal Kählerian manifolds, but coincides with the class of LCK-manifolds only for dimension at least six.