Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure
Differential Geometry
2012-05-09 v1
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.
Cite
@article{arxiv.0711.2798,
title = {Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure},
author = {Kostadin Gribachev and Mancho Manev},
journal= {arXiv preprint arXiv:0711.2798},
year = {2012}
}
Comments
13 pages, 1 example