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arXiv · 0711.2798

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

Kostadin Gribachev·Mancho Manev
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Abstract

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.

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Kostadin Gribachev, Mancho Manev. 2007-11-18. Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure. https://doi.org/10.1007/s00022-007-1947-2

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