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arXiv · 1309.0975

Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras

Mancho Manev
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Abstract

Integrable hypercomplex structures with Hermitian and Norden metrics on Lie groups of dimension 4 are considered. The corresponding five types of invariant hypercomplex structures with hyper-Hermitian metric, studied by M.L. Barberis, are constructed here. The different cases regarding the signature of the basic pseudo-Riemannian metric are considered.

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Mancho Manev. 2013-09-04. Hypercomplex structures with Hermitian-Norden metrics on four-dimensional Lie algebras. https://doi.org/10.1007/s00022-013-0188-9

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