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

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Abstract.

Almost hypercomplex pseudo-Hermitian manifolds are considered. Isotropic hyper-Kähler 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-Kähler is given.

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Department of Geometry, University of Plovdiv, 236 Bulgaria blvd., Plovdiv, 4003, Bulgaria

    Kostadin Gribachev & Mancho Manev

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  1. Kostadin Gribachev
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  2. Mancho Manev
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Correspondence to Mancho Manev.

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Gribachev, K., Manev, M. Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure. J. geom. 88, 41–52 (2008). https://doi.org/10.1007/s00022-007-1947-2

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  • DOI: https://doi.org/10.1007/s00022-007-1947-2

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