Submitted:
22 January 2020
Posted:
23 January 2020
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Abstract
We study almost hypercomplex structure with Hermitian-Norden metrics on 4-dimensional Lie groups considered as smooth manifolds. All the basic classes of a classification of 4-dimensional indecomposable real Lie algebras depending on one parameter are investigated. There are studied some geometrical characteristics of the respective almost hypercomplex manifolds with Hermitian-Norden metrics.
Keywords:
Almost hypercomplex structure
; Hermitian metric
; Norden metric
; Lie group
; Lie algebra
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