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.
Keywords
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.
Hristo Manev