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

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Gribachev, Kostadin
Manev, Mancho
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Abstract
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Almost hypercomplex pseudo-Hermitian manifolds are considered. Isotropic hyper-K\"ahler manifolds are introduced. A 4-parametric family of 4-dimensional manifolds of this type is constructed on a Lie group. This family is characterized geometrically. The condition a 4-manifold to be isotropic hyper-K\"ahler is given.
Comment: 13 pages, 1 example
Keywords
Mathematics - Differential Geometry, 53C26, 53C15, 53C50, 53C55
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