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Almost hypercomplex manifolds with Hermitian–Norden metrics and 4-dimensional indecomposable real Lie algebras depending on one parameter

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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.

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Authors and Affiliations

  1. Faculty of Public Health, Department of Medical Informatics, Biostatistics and e-Learning, Medical University of Plovdiv, 15-A Vasil Aprilov Blvd., Plovdiv, 4002, Bulgaria

    Hristo Manev

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  1. Hristo Manev
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Correspondence to Hristo Manev.

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The author was partially supported by the project MU21-FMI-008 of the Scientific Research Fund, University of Plovdiv, Bulgaria and National Scientific Program ”Young Researchers and Post-Doctorants”, Bulgaria.

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Manev, H. Almost hypercomplex manifolds with Hermitian–Norden metrics and 4-dimensional indecomposable real Lie algebras depending on one parameter. J. Geom. 112, 16 (2021). https://doi.org/10.1007/s00022-021-00580-9

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  • DOI: https://doi.org/10.1007/s00022-021-00580-9

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