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

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

2007-11-18

arxiv.org/abs/0711.2798v1

J. Geom., 88, No. 1-2 (2008), 41-52.

Mathematics

Differential Geometry

13 pages, 1 example

Scientific paper

10.1007/s00022-007-1947-2

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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