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. Preprints2020, 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).
Cite as:
Manev, H. Almost Hypercomplex Manifolds with Hermitian-Norden Metrics and 4-dimensional Indecomposable Real Lie Algebras Depending on One Parameter. Preprints2020, 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
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.