Abstract
Almost paracontact almost paracomplex Riemannian manifolds of the lowest dimension 3 are considered. Such structures are constructed on a family of Lie groups and the obtained manifolds are studied. Curvature properties of these manifolds are investigated. An example is commented as support of the obtained results.
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Acknowledgements
The authors were supported by Projects MU19-FMI-020 and FP19-FMI-002 of the Scientific Research Fund, University of Plovdiv Paisii Hilendarski, Bulgaria.
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Manev, M., Tavkova, V. Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds. J. Geom. 110, 43 (2019). https://doi.org/10.1007/s00022-019-0499-6
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DOI: https://doi.org/10.1007/s00022-019-0499-6
Keywords
- Almost paracontact structure
- almost paracomplex structure
- Riemannian metric
- Lie group
- Lie algebra
- curvature properties