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Almost hypercomplex pseudo-Hermitian manifolds are considered. Isotropichyper-K\"ahler manifolds are introduced. A 4-parametric family of 4-dimensionalmanifolds of this type is constructed on a Lie group. This family ischaracterized geometrically. The condition a 4-manifold to be isotropichyper-K\"ahler is given.

Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure