Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Almost Hypercomplex Manifolds with Hermitian-Norden Metrics and 4-dimensional Indecomposable Real Lie Algebras Depending on One Parameter

Version 1 : Received: 22 January 2020 / Approved: 23 January 2020 / Online: 23 January 2020 (14:50:08 CET)

How to cite: Manev, H. Almost Hypercomplex Manifolds with Hermitian-Norden Metrics and 4-dimensional Indecomposable Real Lie Algebras Depending on One Parameter. Preprints 2020, 2020010267 (doi: 10.20944/preprints202001.0267.v1). Manev, H. Almost Hypercomplex Manifolds with Hermitian-Norden Metrics and 4-dimensional Indecomposable Real Lie Algebras Depending on One Parameter. Preprints 2020, 2020010267 (doi: 10.20944/preprints202001.0267.v1).

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.

Subject Areas

Almost hypercomplex structure; Hermitian metric; Norden metric; Lie group; Lie algebra

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